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] | 1411.2489 | We consider thermalization of a microscopic quantum system by interaction
with a thermal bath. Our interest is the minimal size the bath can have while
still being able to thermalize the system. Within a specific thermalization
scheme we show that a single spin-1/2 can be fully thermalized by interaction
with a bath that consists of just two other spin-1/2. The two bath spins are
initially in a pure, entangled state, and the thermalizing interaction is a
Heisenberg exchange-interaction of the system-spin with one of the bath spins.
The time dependent coupling strength has to obey a single integral constraint.
We also present a simple generalization of this minimal model in which the bath
consists of an arbitrary number of spin-1/2 pairs.
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] | 0809.1299 | We have observed the spatial inhomogeneity of the electronic structure of a
single-crystalline electron-doped EuO thin film with ferromagnetic ordering by
employing infrared magneto-optical imaging with synchrotron radiation. The
uniform paramagnetic electronic structure changes to a uniform ferromagnetic
structure via an inhomogeneous state with decreasing temperature and increasing
magnetic field slightly above the ordering temperature. One possibility of the
origin of the inhomogeneity is the appearance of magnetic polaron states.
|
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] | 1707.01114 | We extend the recent bounds of Sason and Verd\'u relating R\'enyi entropy and
Bayesian hypothesis testing [arXiv:1701.01974] to the quantum domain and show
that they have a number of different applications. First, we obtain a sharper
bound relating the optimal probability of correctly distinguishing elements of
an ensemble of states to that of the pretty good measurement, and an analogous
bound for optimal and pretty good entanglement recovery. Second, we obtain
bounds relating optimal guessing and entanglement recovery to the fidelity of
the state with a product state, which then leads to tight tripartite
uncertainty and monogamy relations.
|
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] | 2201.04099 | In particle-based stochastic reaction-diffusion models, reaction rate and
placement kernels are used to decide the probability per time a reaction can
occur between reactant particles, and to decide where product particles should
be placed. When choosing kernels to use in reversible reactions, a key
constraint is to ensure that detailed balance of spatial reaction-fluxes holds
at all points at equilibrium. In this work we formulate a general
partial-integral differential equation model that encompasses several of the
commonly used contact reactivity (e.g. Smoluchowski-Collins-Kimball) and volume
reactivity (e.g. Doi) particle models. From these equations we derive a
detailed balance condition for the reversible $\textrm{A} + \textrm{B}
\leftrightarrows \textrm{C}$ reaction. In bounded domains with no-flux boundary
conditions, when choosing unbinding kernels consistent with several commonly
used binding kernels, we show that preserving detailed balance of spatial
reaction-fluxes at all points requires spatially varying unbinding rate
functions near the domain boundary. Brownian Dynamics simulation algorithms can
realize such varying rates through ignoring domain boundaries during unbinding
and rejecting unbinding events that result in product particles being placed
outside the domain.
|
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] | 1809.04458 | In this paper, we explore the use of a factorized hierarchical variational
autoencoder (FHVAE) model to learn an unsupervised latent representation for
dialect identification (DID). An FHVAE can learn a latent space that separates
the more static attributes within an utterance from the more dynamic attributes
by encoding them into two different sets of latent variables. Useful factors
for dialect identification, such as phonetic or linguistic content, are encoded
by a segmental latent variable, while irrelevant factors that are relatively
constant within a sequence, such as a channel or a speaker information, are
encoded by a sequential latent variable. The disentanglement property makes the
segmental latent variable less susceptible to channel and speaker variation,
and thus reduces degradation from channel domain mismatch. We demonstrate that
on fully-supervised DID tasks, an end-to-end model trained on the features
extracted from the FHVAE model achieves the best performance, compared to the
same model trained on conventional acoustic features and an i-vector based
system. Moreover, we also show that the proposed approach can leverage a large
amount of unlabeled data for FHVAE training to learn domain-invariant features
for DID, and significantly improve the performance in a low-resource condition,
where the labels for the in-domain data are not available.
|
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] | 2210.00317 | To address three significant challenges of massive wireless communications
including propagation loss, long-distance transmission, and channel fading, we
aim at establishing the hybrid antenna array with bowtie elements in a compact
size for beamforming applications. In this work we rigorously demonstrate that
bowtie elements allow for a significant improvement in the beamforming
performance of the hybrid antenna array compared to not only other available
antenna arrays, but also its geometrical counterpart with dipole elements. We
have achieved a greater than 15 dB increase in SINR values, a greater than 20%
improvement in the antenna efficiency, a significant enhancement in the DoA
estimation, and 20 increments in the directivity for the hybrid antenna array
with bowtie elements, compared to its geometrical counterpart, by performing a
three-class classification LS-SVM (LeastSquares Support Vector Machine)
optimization method. The proposed hybrid antenna array has shown a 3D uniform
directivity, which is accompanied by its superior performance in the 3D uniform
beam-scanning capability. The directivities remain almost constant at 40.83 dBi
with the variation of angle {\theta}, and 41.21 dBi with the variation of angle
{\phi}. The unrivaled functionality and performance of the hybrid antenna array
with bowtie elements makes it a potential candidate for beamforming
applications in massive wireless communications.
|
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] | 1305.5284 | The discussion of the large elliptic flow of direct photons in Quark Matter
2014 has been reviewed. Then based on previous technique work, the physics
meaning related to the large elliptic flow of direct photons is invetigated in
this paper.
|
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] | 0808.0433 | A variational Monte Carlo calculation is used for studying the ground state
of the two-dimensional Hubbard model, including hopping between both nearest
and next-nearest neighbor sites. Superconductivity with d-wave symmetry is
found to be restricted to densities where the Fermi surface crosses the
magnetic zone boundary. The condensate energy is much larger for hole doping
than for electron doping. Superconductivity is kinetic energy driven for hole
doping, but potential energy driven for electron doping. Our findings agree
surprisingly well with experimental data for layered cuprates, both for
electron- and hole-doped materials.
|
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] | 1408.1154 | We consider an $\epsilon K$ transversal perturbing vector field in a foliated
Brownian motion defined in a foliated tubular neighbourhood of an embedded
compact submanifold in $\R^3$. We study the effective behaviour of the system
under this $\epsilon$ perturbation. If the perturbing vector field $K$ is
proportional to the Gaussian curvature at the corresponding leaf, we have that
the transversal component, after rescaling the time by $t/\epsilon$, approaches
a linear increasing behaviour proportional to the Euler characteristic of $M$,
as $\epsilon$ goes to zero. An estimate of the rate of convergence is
presented.
|
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] | math/0603520 | We use the theory of symmetric functions to enumerate various classes of
alternating permutations w of {1,2,...,n}. These classes include the following:
(1) both w and w^{-1} are alternating, (2) w has certain special shapes, such
as (m-1,m-2,...,1), under the RSK algorithm, (3) w has a specified cycle type,
and (4) w has a specified number of fixed points. We also enumerate alternating
permutations of a multiset. Most of our formulas are umbral expressions where
after expanding the expression in powers of a variable E, E^k is interpreted as
the Euler number E_k. As a small corollary, we obtain a combinatorial
interpretation of the coefficients of an asymptotic expansion appearing in
Ramanujan's Lost Notebook.
|
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] | 1805.12423 | The orbital contribution to the magnetic moment of the transition metal ion
in the isostructural weak ferromagnets ACO$_3$ (A=Mn,Co,Ni) and FeBO$_3$ was
investigated by a combination of first-principles calculations, non-resonant
x-ray magnetic scattering and x-ray magnetic circular dichroism. A non-trivial
evolution of the orbital moment as a function of the $3d$ orbitals filling is
revealed, with an anomalously large value found in the Co member of the family.
Here, the coupling between magnetic and lattice degrees of freedom produced by
the spin-orbit interaction results in a large single-ion anisotropy and a
peculiar magnetic-moment-induced electron cloud distortion, evidenced by the
appearance of a subtle scattering amplitude at space group-forbidden
reflections and significant magnetostrictive effects. Our results, which
complement a previous investigation on the sign of the Dzyaloshinskii$-$Moriya
interaction across the series, highlight the importance of spin-orbit coupling
in the physics of weak ferromagnets and prove the ability of modern
first-principles calculations to predict the properties of materials where the
Dzyaloshinskii$-$Moriya interaction is a fundamental ingredient of the magnetic
Hamiltonian.
|
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] | 1606.01696 | Evaluating accessible conformational space is computationally expensive and
thermal motions are partly neglected in computer models of molecular
interactions. This produces error into the estimates of binding strength. We
introduce a method for modelling interactions so that structural flexibility is
inherently taken into account. It has a statistical model for 3D properties of
'nonlocal' contacts and a physics based description of 'local' interactions,
based on mechanical torque. The form of the torque barrier is derived using a
representation of the local electronic structure, which is presumed to improve
transferability, compared to traditional force fields. The nonlocal contacts
are more distant than 1-4 interactions and Target-atoms are represented by 3D
probability densities. Probability mass quantifies strength of contact and is
calculated as an overlap integral. Repulsion is described by negative
probability density, allowing probability mass to be used as the descriptor of
contact preference. As a result, we are able to transform the high-dimensional
problem into a simpler evaluation of three-dimensional integrals. We outline
how this scoring function gives a tool to study the enthalpy--entropy
compensation and demonstrate the feasibility of our approach by evaluating
numerical probability masses for chosen side chain to main chain contacts in a
lysine dipeptide structure.
|
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] | 2004.00504 | For a positive integer $q\not\equiv 2 \pmod 4$, this work considers the
fourth moment of Dirichlet $L$-functions averaged over both $t\in [0,T]$ and
primitive characters to modulus $q$. An asymptotic formula with a power saving
from both $q$-aspect and $t$-aspect in the error term is obtained.
|
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] | 1410.8322 | In this letter we study the dynamics of a first order phase transition from
nucleonic to quark matter in neutron stars. Using standard equations of state
for these two phases we find the density range where such a transition is
possible. Then we study the transformation of the star assuming that the quark
core is formed via a spherical shock wave. The thermodynamical conditions in
the quark core are found from the conservation laws across the transition
region. Their dependence on the density and velocity of the incoming nuclear
matter are studied. It is found that the shock is especially violent in the
beginning of the conversion process when the velocity of the infalling matter
is especially high. As the shock propagates further from the center the front
velocity first increases and reaches a maximum value when the incoming velocity
is around $0.2$. Finally, the front velocity quickly goes to zero when incoming
matter velocity approaches zero. We have shown that the density and pressure
jumps are especially large in the begining of the transition process.
|
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] | 1012.1661 | Ondex is a data integration and visualization platform developed to support
Systems Biology Research. At its core is a data model based on two main
principles: first, all information can be represented as a graph and, second,
all elements of the graph can be annotated with ontologies. This data model is
conformant to the Semantic Web framework, in particular to RDF, and therefore
Ondex is ideally positioned as a platform that can exploit the semantic web.
|
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0.013313504,
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0.00089179556,
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0.0021359078,
0.031334564,
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] | 2009.13976 | Let $G/K$ be an irreducible symmetric space where $G$ is a non-compact,
connected Lie group and $K$ is a compact, connected subgroup. We use decay
properties of the spherical functions to show that the convolution product of
any $r=r(G/K)$ continuous orbital measures has its density function in $%
L^{2}(G)$ and hence is an absolutely continuous measure with respect to Haar
measure. The number $r$ is approximately the rank of $G/K$. For the special
case of the orbital measures, $\nu_{a_{i}}$, supported on the double cosets
$Ka_{i}K$ where $a_{i}$ belongs to the dense set of regular elements, we prove
the sharp result that $\nu_{a_{1}}\ast \nu_{a_{2}}\in L^{2},$ except for the
symmetric space of Cartan type $AI$ when the convolution of three orbital
measures is needed (even though $\nu_{a_{1}}\ast \nu_{a_{2}}$ is absolutely
continuous).
|
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] | 2206.09304 | Identifying pathogens in complex samples such as blood, urine, and wastewater
is critical to detect infection and inform optimal treatment. Surface-enhanced
Raman spectroscopy (SERS) and machine learning (ML) can distinguish among
multiple pathogen species, but processing complex fluid samples to sensitively
and specifically detect pathogens remains an outstanding challenge. Here, we
develop an acoustic bioprinter to digitize samples into millions of droplets,
each containing just a few cells, which are identified with SERS and ML. We
demonstrate rapid printing of 2 pL droplets from solutions containing S.
epidermidis, E. coli, and blood; when mixed with gold nanorods (GNRs), SERS
enhancements of up to 1500x are achieved.We then train a ML model and achieve
>=99% classification accuracy from cellularly-pure samples, and >=87% accuracy
from cellularly-mixed samples. We also obtain >=90% accuracy from droplets with
pathogen:blood cell ratios <1. Our combined bioprinting and SERS platform could
accelerate rapid, sensitive pathogen detection in clinical, environmental, and
industrial settings.
|
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] | cond-mat/0608061 | In both spinel compounds GeCo$_2$O$_4$ and GeNi$_2$O$_4$ which order
antiferromagnetically (at $T_N = 23.5 K$ and $T_{N_1} = 12.13 K$, $T_{N_2} =
11.46 K$) with different Curie Weiss temperatures ($T_{CW}$=80.5 K and -15 K),
the usual magnetic frustration criterion $f=|T_{CW}|/T_N>>1$ is not fulfilled.
Using neutron powder diffraction and magnetization measurements up to 55 T,
both compounds are found with a close magnetic ground state at low temperature
and a similar magnetic behavior (but with a different energy scale), even
though spin anisotropy and first neighbor exchange interactions are quite
different. This magnetic behavior can be understood when considering the main
four magnetic exchange interactions. Frustration mechanisms are then
enlightened.
|
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] | 1501.03739 | The internal friction in the crystals grown in two modes, namely, slow and
anomalously fast (burst-like growth) modes, is measured in the temperature
range 0.49-0.75K at a frequency of about 75kHz. An additional contribution to
the damping decrement and softening of the dynamic modulus are detected, and
their relaxation to equilibrium values at a time constant of about 3ms is
observed. Possible origins of this effect are discussed.
|
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] | 1908.01591 | Optical coupling enables intermediate- and long-range interactions between
distant quantum emitters. Such interaction may be the basic element in
bottom-up approaches of coupled spin systems or for integrated quantum
photonics and quantum plasmonics. Here, we prepare nanodiamonds carrying
single, negatively-charged silicon-vacancy centers for evanescent optical
coupling with access to all degrees of freedom by means of atomic force
nanomanipulation. The color centers feature excellent optical properties,
comparable to silicon-vacancy centers in bulk diamond, resulting in a
resolvable fine structure splitting, a linewidth close to the Fourier-Transform
limit under resonant excitation and a good polarization contrast. We determine
the orbital relaxation time $T_{1}$ of the orbitally split ground states and
show that all optical properties are conserved during translational
nanomanipulation. Furthermore, we demonstrate the rotation of the nanodiamonds.
In contrast to the translational operation, the rotation leads to a change in
polarization contrast. We utilize the change in polarization contrast before
and after nanomanipulation to determine the rotation angle. Finally, we
evaluate the likelihood for indistinguishable, single photon emission of
silicon-vacancy centers located in different nanodiamonds. Our work enables
ideal evanescent, optical coupling of distant nanodiamonds containing
silicon-vacancy centers with applications in the realization of quantum
networks, quantum repeaters or complex quantum systems.
|
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] | 1104.3897 | We present a search for outlying HII regions in the extended gaseous
outskirts of nearby (D < 40 Mpc) galaxies, and subsequent multi-slit
spectroscopy used to obtain the HII region nebular oxygen abundances. The
galaxies in our sample have extended HI disks and/or interaction-related HI
features that extend well beyond their primary stellar components. We report
oxygen abundance gradients out to 2.5 times the optical radius for these
galaxies which span a range of morphologies and masses. We analyze the
underlying stellar and neutral HI gas distributions in the vicinity of the HII
regions to understand the physical processes that give rise to the observed
metal distributions in galaxies. These measurements, for the first time,
convincingly show flat abundance distributions out to large radii in a wide
variety of systems, and have broad implications for galaxy chemodynamical
evolution.
|
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] | nucl-ex/0403024 | We present new results on the production of charged hadrons and neutral pions
in Au+Au and d+Au collisions at sqrt{s_{NN} = 200 GeV, measured within the
PHENIX experiment. We observe the opposite centrality dependence when comparing
the two collision systems: an increase with centrality compared to the binary
scaled yield from p+p collisions in d+Au and a decrease with centrality in
Au+Au.
|
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0.0020912914,
0.028029611,
0.042937037,
0.03249146,
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0.04914037,
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0.007977076,
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0.018170437,
0.027578538,
0.06661112,
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0.018312588,
0.041041195,
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0.02240205,
0.0066615455,
0.08127042,
0.03246216,
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0.07215452,
0.010225799,
0.09846934,
-0.063012265,
-0.013859202,
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-0.05195156,
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-0.014624373,
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0.0068401014,
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] | 0710.0695 | We report non-resonant x-ray Raman scattering (XRS) measurements from
hexagonal boron nitride for transferred momentum from 2 to 9
$\mathrm{\AA}^{-1}$ along directions both in and out of the basal plane. A
symmetry-based argument, together with real-space full multiple scattering
calculations of the projected density of states in the spherical harmonics
basis, reveals that a strong pre-edge feature is a dominantly $Y_{10}$-type
Frenkel exciton with no other \textit{s}-, \textit{p}-, or \textit{d}-
components. This conclusion is supported by a second, independent calculation
of the \textbf{q}-dependent XRS cross-section based on the Bethe-Salpeter
equation.
|
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] | 2101.03598 | Using the econometric models, this paper addresses the ability of Albanian
Small and Medium-sized Enterprises (SMEs) to identify the risks they face. To
write this paper, we studied SMEs operating in the Gjirokastra region. First,
qualitative data gathered through a questionnaire was used. Next, the 5-level
Likert scale was used to measure it. Finally, the data was processed through
statistical software SPSS version 21, using the binary logistic regression
model, which reveals the probability of occurrence of an event when all
independent variables are included. Logistic regression is an integral part of
a category of statistical models, which are called General Linear Models.
Logistic regression is used to analyze problems in which one or more
independent variables interfere, which influences the dichotomous dependent
variable. In such cases, the latter is seen as the random variable and is
dependent on them. To evaluate whether Albanian SMEs can identify risks, we
analyzed the factors that SMEs perceive as directly affecting the risks they
face. At the end of the paper, we conclude that Albanian SMEs can identify risk
|
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] | 1806.06629 | People counting is one of the hottest issues in sensing applications. The
impulse radio ultra-wideband (IR-UWB) radar has been extensively applied to
count people, providing a device-free solution without illumination and privacy
concerns. However, performance of current solutions is limited in congested
environments due to the superposition and obstruction of signals. In this
letter, a hybrid feature extraction method based on curvelet transform and
distance bin is proposed. 2-D radar matrix features are extracted in multiple
scales and multiple angles by applying the curvelet transform. Furthermore, the
distance bin is introduced by dividing each row of the matrix into several bins
along the propagating distance to select features. The radar signal dataset in
three dense scenarios is constructed, including people randomly walking in the
constrained area with densities of 3 and 4 persons per square meter, and
queueing with an average distance of 10 centimeters. The number of people is up
to 20 in the dataset. Four classifiers including decision tree, AdaBoost,
random forest and neural network are compared to validate the hybrid features,
and random forest performs the highest accuracies of all above 97% in three
dense scenarios. Moreover, to ensure the reliability of the hybrid features,
three other features including cluster features, activity features and CNN
features are compared. The experimental results reveal that the proposed hybrid
feature extraction method exhibits stable performance with significantly
superior effectiveness.
|
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] | 1807.09236 | Comparison data arises in many important contexts, e.g. shopping, web clicks,
or sports competitions. Typically we are given a dataset of comparisons and
wish to train a model to make predictions about the outcome of unseen
comparisons. In many cases available datasets have relatively few comparisons
(e.g. there are only so many NFL games per year) or efficiency is important
(e.g. we want to quickly estimate the relative appeal of a product). In such
settings it is well known that shrinkage estimators outperform maximum
likelihood estimators. A complicating matter is that standard comparison models
such as the conditional multinomial logit model are only models of conditional
outcomes (who wins) and not of comparisons themselves (who competes). As such,
different models of the comparison process lead to different shrinkage
estimators. In this work we derive a collection of methods for estimating the
pairwise uncertainty of pairwise predictions based on different assumptions
about the comparison process. These uncertainty estimates allow us both to
examine model uncertainty as well as perform Empirical Bayes shrinkage
estimation of the model parameters. We demonstrate that our shrunk estimators
outperform standard maximum likelihood methods on real comparison data from
online comparison surveys as well as from several sports contexts.
|
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0.059859492,
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0.03166397,
0.039480105,
0.03746053,
0.05625311,
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0.033305276,
-0.07195202,
-0.00046622893,
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0.024825787,
0.0059075453,
0.033929206,
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0.020927105,
0.00017973283,
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0.035806905
] | 1311.5634 | In this paper, we show that the minimum number of vertices whose removal
disconnects a connected strongly regular graph into non-singleton components,
equals the size of the neighborhood of an edge for many graphs. These include
blocks graphs of Steiner $2$-designs, many Latin square graphs and strongly
regular graphs whose intersection parameters are at most a quarter of their
valency.
|
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] | cond-mat/9612184 | The electron spectrum in the normal phase of cuprates is analyzed in terms of
the boson-fermion model. It is argued that the existence of the uncondensed
pairs and the quasi-two-dimensional nature of the crystal structure are
responsible for the pseudo-gap above T_C observed recently.
|
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] | 0907.1314 | We consider von Neumann algebras generated by the stationary laws of free
stochastic differential equations of the form $dX_t = dS_t -1/2 DV(X_t)$ for a
suitably convex multivariate noncommutative polynomial $V$. Using techniques of
Guionnet and Shlyakhtenko, we prove that these von Neumann algebras have
property AO of Ozawa and are thus solid.
|
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] | 2305.00901 | A novel nonparametric clustering algorithm is proposed using the interpoint
distances between the members of the data to reveal the inherent clustering
structure existing in the given set of data, where we apply the classical
nonparametric univariate kernel density estimation method to the interpoint
distances to estimate the density around a data member. Our clustering
algorithm is simple in its formation and easy to apply resulting in
well-defined clusters. The algorithm starts with objective selection of the
initial cluster representative and always converges independently of this
choice. The method finds the number of clusters itself and can be used
irrespective of the nature of underlying data by using an appropriate
interpoint distance measure. The cluster analysis can be carried out in any
dimensional space with viability to high-dimensional use. The distributions of
the data or their interpoint distances are not required to be known due to the
design of our procedure, except the assumption that the interpoint distances
possess a density function. Data study shows its effectiveness and superiority
over the widely used clustering algorithms.
|
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] | 0710.3202 | We present spectroscopic observations of the quiescent black hole binary
A0620-00 with the the 6.5-m Magellan Clay telescope at Las Campanas
Observatory. We measure absorption-line radial velocities of the secondary and
make the most precise determination to date (K2 = 435.4 +/- 0.5 km/s). By
fitting the rotational broadening of the secondary, we refine the mass ratio to
q = 0.060 +/- 0.004; these results, combined with the orbital period, imply a
minimum mass for the compact object of 3.10 +/- 0.04 Msun. Although quiescence
implies little accretion activity, we find that the disc contributes 56 +/- 7
per cent of the light in B and V, and is subject to significant flickering.
Doppler maps of the Balmer lines reveal bright emission from the gas
stream-disc impact point and unusual crescent-shaped features. We also find
that the disc centre of symmetry does not coincide with the predicted black
hole velocity. By comparison with SPH simulations, we identify this source with
an eccentric disc. With high S/N, we pursue modulation tomography of H-alpha
and find that the aforementioned bright regions are strongly modulated at the
orbital period. We interpret this modulation in the context of disc precession,
and discuss cases for the accretion disc evolution.
|
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] | 0710.3868 | Two dimensional hydrodynamical disks are nonlinearly unstable to the
formation of vortices. Once formed, these vortices essentially survive forever.
What happens in three dimensions? We show with pseudospectral simulations that
in 3D a vortex in a short box forms and survives just as in 2D. But a vortex in
a tall box is unstable and is destroyed. In our simulation, the unstable vortex
decays into a transient turbulent-like state that transports angular momentum
outward at a nearly constant rate for hundreds of orbital times. The 3D
instability that destroys vortices is a generalization of the 2D instability
that forms them. We derive the conditions for these nonlinear instabilities to
act by calculating the coupling between linear modes, and thereby derive the
criterion for a vortex to survive in 3D as it does in 2D: the azimuthal extent
of the vortex must be larger than the scale height of the accretion disk. When
this criterion is violated, the vortex is unstable and decays. Because vortices
are longer in azimuthal than in radial extent by a factor that is inversely
proportional to their excess vorticity, a vortex with given radial extent will
only survive in a 3D disk if it is sufficiently weak. This counterintuitive
result explains why previous 3D simulations always yielded decaying vortices:
their vortices were too strong. We conclude that in protoplanetary disks weak
vortices can trap dust and serve as the nurseries of planet formation. Decaying
strong vortices might be responsible for the outwards transport of angular
momentum that is required to make accretion disks accrete.
|
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] | hep-lat/9608042 | We consider two issues in the DT model of quantum gravity. First, it is shown
that the triangulation space for D>3 is dominated by triangulations containing
a single singular (D-3)-simplex composed of vertices with divergent dual
volumes. Second we study the ergodicity of current simulation algorithms.
Results from runs conducted close to the phase transition of the
four-dimensional theory are shown. We see no strong indications of ergodicity
br eaking in the simulation and our data support recent claims that the
transition is most probably first order. Furthermore, we show that the critical
properties of the system are determined by the dynamics of remnant singular
vertices.
|
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] | 1705.10805 | Noise induced hearing loss (NIHL) as one of major avoidable occupational
related health issues has been studied for decades. To assess NIHL, the
excitation pattern (EP) has been considered as one of mechanisms to estimate
movements of basilar membrane (BM) in cochlea. In this study, two auditory
filters, dual resonance nonlinear (DRNL) filter and rounded-exponential (ROEX)
filter, have been applied to create two EPs, referring as the velocity EP and
the loudness EP, respectively. Two noise hazard metrics are also proposed based
on the developed EPs to evaluate hazardous levels caused by different types of
noise. Moreover, Gaussian noise and pure-tone noise have been simulated to
evaluate performances of the developed EPs and noise metrics. The results show
that both developed EPs can reflect the responses of BM to different types of
noise. For Gaussian noise, there is a frequency shift between the velocity EP
and the loudness EP. For pure-tone noise, both EPs can reflect the frequencies
of input noise accurately. The results suggest that both EPs can be potentially
used for assessment of NIHL.
|
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] | nucl-th/0502073 | A new approach to identify the independent amplitudes along with their
partial wave multipole expansions, for photo and electro-production is
suggested,which is generally applicable to mesons with arbitrary spin-parity.
These amplitudes facilitate direct identification of different resonance
contributions.
|
84db5082-4405-44fa-a8a2-074ace550a62 | [
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] | 1708.01422 | The function space of deep-learning machines is investigated by studying
growth in the entropy of functions of a given error with respect to a reference
function, realized by a deep-learning machine. Using physics-inspired methods
we study both sparsely and densely-connected architectures to discover a
layer-wise convergence of candidate functions, marked by a corresponding
reduction in entropy when approaching the reference function, gain insight into
the importance of having a large number of layers, and observe phase
transitions as the error increases.
|
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] | cond-mat/0506362 | We reconsider the long-standing problem of the effect of spin fluctuations on
the critical temperature and isotope effect in a phonon-mediated
superconductor. Although the general physics of the interplay between phonons
and paramagnons had been rather well understood, the existing approximate
formulas fail to describe the correct behavior of $% T_{c}$ for general phonon
and paramagnon spectra. Using a controllable approximation, we derive an
analytical formula for $T_{c}$ which agrees well with exact numerical solutions
of the Eliashberg equations for a broad range of parameters. Based on both
numerical and analytical results, we predict a strong enhancement of the
isotope effect when the frequencies of spin fluctuation and phonons are of the
same order. This effect may have important consequences for near-magnetic
superconductors such as MgCNi$_{3}$
|
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] | 1409.2488 | We present new observations of the lensing cluster SMACSJ2031.8-4036 obtained
with the MUSE integral field spectrograph as part of its commissioning on the
Very Large Telescope. By providing medium-resolution spectroscopy over the full
4750-9350 Angstroms domain and a 1x1 arcmin2 field of view, MUSE is ideally
suited for identifying lensed galaxies in the cluster core, in particular
multiple-imaged systems. We perform a redshift analysis of all sources in the
datacube and identify a total of 12 systems ranging from $z=1.46$ to $z=6.4$,
with all images of each system confirmed by a spectroscopic redshift. This
allows us to accurately constrain the cluster mass profile in this region. We
foresee that future MUSE observations of cluster cores should help us discover
very faint Lyman-alpha emitters thanks to the strong magnification and the high
sensitivity of this instrument.
|
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] | 2012.03702 | We study a solar spicule observed off-limb using high-resolution imaging
spectroscopy in the Ca II 8542 \AA\ line obtained with the CRisp Imaging
SpectroPolarimeter (CRISP) on the Swedish 1-m Solar Telescope. Using a new
version of the non-LTE code NICOLE specifically developed for this problem we
invert the spicule single- and double-peak line profiles. This new version
considers off-limb geometry and computes atomic populations by solving the 1D
radiative transfer assuming a vertical stratification. The inversion proceeds
by fitting the observed spectral profiles at 14 different heights with
synthetic profiles computed in the model by solving the radiative transfer
problem along its length. Motivated by the appearance of double-peak Ca II 8542
\AA\ spicule profiles, which exhibit two distinct emission features well
separated in wavelength, we adopt a double-component scenario. We start from
the ansatz that the spicule parameters are practically constant along the
spicule axis for each component, except for a density drop. Our results support
this ansatz by attaining very good fits to the entire set of 14$\times$4
profiles (14 heights and 4 times). We show that the double-component model with
uniform temperature of 9560 K, exponential decrease of density with a height
scale of $1000-2000$ km, and the counter-oriented line-of-sight velocities of
components reproduce the double-peak line profiles at all spicule segments
well. Analyses of the numerical response function reveals the necessity of the
inversions of spectra at multiple height positions to obtain height-dependent,
degeneracy-free reliable model with a limited number of free parameters.
|
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] | 1711.01014 | We investigate the dynamics of nanoparticles in semidilute polymer solutions
when the nanoparticles are comparably sized to the polymer coils using
explicit- and implicit-solvent simulation methods. The nanoparticle dynamics
are subdiffusive on short time scales before transitioning to diffusive motion
on long time scales. The long-time diffusivities scale according to theoretical
predictions based on full dynamic coupling to the polymer segmental
relaxations. In agreement with our recent experiments, however, we observe that
the nanoparticle subdiffusive exponents are significantly larger than predicted
by the coupling theory over a broad range of polymer concentrations. We
attribute this discrepancy in the subdiffusive regime to the presence of an
additional coupling mechanism between the nanoparticle dynamics and the polymer
center-of-mass motion, which differs from the polymer relaxations that control
the long-time diffusion. This coupling is retained even in the absence of
many-body hydrodynamic interactions when the long-time dynamics of the colloids
and polymers are matched.
|
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] | 1107.2379 | We consider the model introduced by Bilu and Linial (2010), who study
problems for which the optimal clustering does not change when distances are
perturbed. They show that even when a problem is NP-hard, it is sometimes
possible to obtain efficient algorithms for instances resilient to certain
multiplicative perturbations, e.g. on the order of $O(\sqrt{n})$ for max-cut
clustering. Awasthi et al. (2010) consider center-based objectives, and Balcan
and Liang (2011) analyze the $k$-median and min-sum objectives, giving
efficient algorithms for instances resilient to certain constant multiplicative
perturbations.
Here, we are motivated by the question of to what extent these assumptions
can be relaxed while allowing for efficient algorithms. We show there is little
room to improve these results by giving NP-hardness lower bounds for both the
$k$-median and min-sum objectives. On the other hand, we show that constant
multiplicative resilience parameters can be so strong as to make the clustering
problem trivial, leaving only a narrow range of resilience parameters for which
clustering is interesting. We also consider a model of additive perturbations
and give a correspondence between additive and multiplicative notions of
stability. Our results provide a close examination of the consequences of
assuming stability in data.
|
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] | 2004.03412 | The problem of comparing the entire second order structure of two functional
processes is considered and a $L^2$-type statistic for testing equality of the
corresponding spectral density operators is investigated. The test statistic
evaluates, over all frequencies, the Hilbert-Schmidt distance between the two
estimated spectral density operators. Under certain assumptions, the limiting
distribution under the null hypothesis is derived. A novel frequency domain
bootstrap method is introduced, which leads to a more accurate approximation of
the distribution of the test statistic under the null than the large sample
Gaussian approximation derived. Under quite general conditions, asymptotic
validity of the bootstrap procedure is established for estimating the
distribution of the test statistic under the null. Furthermore, consistency of
the bootstrap-based test under the alternative is proved. Numerical simulations
show that, even for small samples, the bootstrap-based test has a very good
size and power behavior. An application to a bivariate real-life functional
time series illustrates the methodology proposed.
|
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] | math/0206275 | Let $\mathcal{D}=G/K$ be a complex bounded symmetric domain of tube type in a
complex Jordan algebra $V$ and let $\mathcal{D}_{\mathbb{R}}=H/L\subset
\mathcal{D}$ be its real form in a formally real Euclidean Jordan algebra
$J\subset V$. We consider representations of $H$ that are gotten by the
generalized Segal-Bargmann transform from a unitary $G$-space of holomorphic
functions on $\mathcal{D}$ to an $L^2$-space on $\mathcal{D_{\mathbf{R}}}$. We
prove that in the unbounded realization the inverse of the unitary part of the
restriction map is actually the Laplace transform. We find the extension to
$\mathcal{D}$ of the spherical functions on $\mathcal{D}_{\mathbb{R}}$ and find
the expansion in terms of the $L$-spherical polynomials on $\mathcal{D}$, which
are Jack symmetric polynomials. We prove that the coefficients are orthogonal
polynomials in an $L^2$-space, the measure being the Harish-Chandra Plancherel
measure multiplied by the symbol of the Berezin transform. We prove the
difference equation and recurrence relation for those polynomials by
considering the action of the Lie algebra and the Cayley transform on the
polynomials on $\mathcal D$.
|
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] | 1610.06777 | The quasistatic normal-compliance contact problem of isotropic homogeneous
linear visco-elastic bodies with Coulomb friction at small strains in
Kelvin-Voigt rheology is considered. The discretization is made by a
semi-implicit formula in time and the Symmetric Galerkin Boundary Element
Method (SGBEM) in space, assuming that the ratio of the viscosity and
elasticity moduli is a given relaxation-time coefficient. The obtained
recursive minimization problem, formulated only on the contact boundary, has a
nonsmooth cost function. If the normal compliance responds linearly and the 2D
problems are considered, then the cost function is piecewise-quadratic, which
after a certain transformation gets the quadratic programming (QP) structure.
However, it would lead to second-order cone programming in 3D problems.
Finally, several computational tests are presented and analysed, with
additional discussion on numerical stability and convergence of the involved
approximated Poincar\'e-Steklov operators.
|
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] | 2006.11050 | We provide a new construction of Brownian disks in terms of forests of
continuous random trees equipped with nonnegative labels corresponding to
distances from a distinguished point uniformly distributed on the boundary of
the disk. This construction shows in particular that distances from the
distinguished point evolve along the boundary as a five-dimensional Bessel
bridge. As an important ingredient of our proofs, we show that the uniform
measure on the boundary, as defined in the earlier work of Bettinelli and
Miermont, is the limit of the suitably normalized volume measure on a small
tubular neighborhood of the boundary. Our construction also yields a simple
proof of the equivalence between the two definitions of the Brownian
half-plane.
|
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] | 1009.5377 | We calculate the pair-annihilation cross section of real scalar singlet dark
matter into two mono-energetic photons. We derive constraints on the theory
parameter space from the Fermi limits on gamma-ray lines, and we compare with
current limits from direct dark matter detection. We show that the new limits,
albeit typically relevant only when the dark matter mass is close to half the
Standard Model Higgs mass, rule out regions of the theory parameter space that
are otherwise not constrained by other observations or experiments. In
particular, the new excluded regions partly overlap with the parameter space
where real scalar singlet dark matter might explain the anomalous signals
observed by CDMS. We also calculate the lifetime of unstable vacuum
configurations in the scalar potential, and show that the gamma-ray limits are
quite relevant in regions where the electro-weak vacuum is meta-stable with a
lifetime longer than the age of the universe.
|
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0.022349913,
0.032261774,
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0.018225472,
-0.035952017,
0.03362619,
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0.024407938,
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0.037088517,
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] | 0805.0415 | In this paper we state some conjectures about q-Fibonacci polynomials which
for q=1 reduce to well-known results about Fibonacci numbers and Fibonacci
polynomials.
|
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0.008019612,
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0.05887738,
0.054508958,
0.033384558,
0.015884956,
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0.030568136,
0.05233964,
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0.048560087,
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0.08739492,
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0.0863541,
0.053175192,
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-0.0330256,
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0.016152533,
-0.04127828,
-0.062580556,
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0.0149374725,
0.027911996,
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] | 0705.4641 | Equations of fully general relativistic radiation hydrodynamics in Kerr
space-time are derived. While the interactions between matter and radiation are
introduced in the comoving frame, the derivatives used when describing the
global evolutions of both the matter and the radiation are given in the
Boyer-Lindquist frame (BLF) which is a frame fixed to the coordinate describing
the central black hole. Around a rotating black hole, both the matter and the
radiation are influenced by the frame-dragging effects due to the black hole's
rotation. As a fixed frame, we use the locally non-rotating reference frame
(LNRF) which is one of the orthonormal frame. While the special relativistic
effects such as beaming effects are introduced by the Lorentz transformation
connecting the comoving frame and the LNRF, the general relativistic effects
such as frame-dragging and gravitational redshift are introduced by the tetrads
connecting the LNRF and the BLF.
|
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] | 1903.01842 | We investigate the geometry of the Kodaira moduli space $M$ of sections of
$\pi:Z\to {\mathbb P}^1$, the normal bundle of which is allowed to jump from
${\mathcal O}(1)^{n}$ to ${\mathcal O}(1)^{n-2m}\oplus {\mathcal
O}(2)^{m}\oplus {\mathcal O}^{m}$. In particular, we identify the natural
assumptions which guarantee that the Obata connection of the hypercomplex part
of $M$ extends to a logarithmic connection on $M$.
|
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] | 2105.13868 | Despite the achievements of large-scale multimodal pre-training approaches,
cross-modal retrieval, e.g., image-text retrieval, remains a challenging task.
To bridge the semantic gap between the two modalities, previous studies mainly
focus on word-region alignment at the object level, lacking the matching
between the linguistic relation among the words and the visual relation among
the regions. The neglect of such relation consistency impairs the
contextualized representation of image-text pairs and hinders the model
performance and the interpretability. In this paper, we first propose a novel
metric, Intra-modal Self-attention Distance (ISD), to quantify the relation
consistency by measuring the semantic distance between linguistic and visual
relations. In response, we present Inter-modal Alignment on Intra-modal
Self-attentions (IAIS), a regularized training method to optimize the ISD and
calibrate intra-modal self-attentions from the two modalities mutually via
inter-modal alignment. The IAIS regularizer boosts the performance of
prevailing models on Flickr30k and MS COCO datasets by a considerable margin,
which demonstrates the superiority of our approach.
|
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] | astro-ph/0607592 | We studied and compared the long-term average hard X-ray (>20keV) spectra of
a sample of twelve bright low-mass X-ray binaries hosting a neutron star (NS).
Our sample comprises the six well studied Galactic Z sources and six Atoll
sources, four of which are bright ("GX") bulge sources while two are weaker
ones in the 2-10keV range (H1750-440 and H1608-55). For all the sources of our
sample, we analysed available public data and extracted average spectra from
the IBIS/ISGRI detector on board INTEGRAL. We can describe all the spectral
states in terms of the bulk motion Comptonisation scenario. We find evidence
that bulk motion is always present, its strength is related to the accretion
rate and it is suppressed only in the presence of high local luminosity. The
two low-dim Atoll source spectra are dominated by photons up-scattered
presumably due to dynamical and thermal Comptonisation in an optically thin,
hot plasma. For the first time, we extend the detection of H1750-440 up to
150keV. The Z and bright "GX" Atoll source spectra are very similar and are
dominated by Comptonised blackbody radiation of seed photons, presumably coming
from the accretion disc and NS surface, in an optically thick cloud with plasma
temperature in the range of 2.5-3keV. Six sources show a hard tail in their
average spectrum: CygX-2 (Z), GX340+0 (Z), GX17+2 (Z), GX5-1 (Z), ScoX-1 (Z)
and GX13+1 (Atoll). This is the first detection of a hard tail in the X-ray
spectrum of the peculiar GX13+1. Using radio data from the literature we find,
in all Z sources and bright "GX" Atolls, a systematic positive correlation
between the X-ray hard tail (40-100keV) and the radio luminosity. This suggests
that hard tails and energetic electrons causing the radio emission may have the
same origin, most likely the Compton cloud located inside the NS magnetosphere.
|
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] | 1011.3802 | A scalar field is a favorite candidate for the particle responsible for dark
energy. However, few theoretical means exist that can simultaneously explain
the observed acceleration of the Universe and evade tests of gravity. The
chameleon mechanism, whereby the properties of a particle depend upon the local
environment, is one possible avenue. We present the results of the Chameleon
Afterglow Search (CHASE) experiment, a laboratory probe for chameleon dark
energy. CHASE marks a significant improvement other searches for chameleons
both in terms of its sensitivity to the photon/chameleon coupling as well as
its sensitivity to the classes of chameleon dark energy models and standard
power-law models. Since chameleon dark energy is virtually indistinguishable
from a cosmological constant, CHASE tests dark energy models in a manner not
accessible to astronomical surveys.
|
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] | math/0307068 | A mixture of an historical article, and of a survey of recent developments,
containing also a couple of new results.
|
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] | 1706.00897 | An adaptive filter is defined as a digital filter that has the capability of
self adjusting its transfer function under the control of some optimizing
algorithms. Most common optimizing algorithms are Least Mean Square (LMS) and
Recursive Least Square (RLS). Although RLS algorithm perform superior to LMS
algorithm, it has very high computational complexity so not useful in most of
the practical scenario. So most feasible choice of the adaptive filtering
algorithm is the LMS algorithm including its various variants. The LMS
algorithm uses transversal FIR filter as underlying digital filter. This paper
is based on implementation and optimization of LMS algorithm for the
application of unknown system identification. Keywords- Adaptive Filtering, LMS
Algorithm, Optimization, System Identification, MATLAB
|
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] | 2110.15935 | In this work, we aim to provide a new and efficient recursive detection
method for temporarily monitored signals. Motivated by the case of the
propagation of an event over a field of sensors, we assumed that the change in
the statistical properties in the monitored signals can only be temporary.
Unfortunately, to our best knowledge, existing recursive and simple detection
techniques such as the ones based on the cumulative sum (CUSUM) do not consider
the temporary aspect of the change in a multivariate time series. In this
paper, we propose a novel simple and efficient sequential detection algorithm,
named Temporary-Event-CUSUM (TE-CUSUM). By combining with a new adaptive way to
aggregate local CUSUM variables from each data stream, we empirically show that
the TE-CUSUM has a very good detection rate in the case of an event passing
through a field of sensors in a very noisy environment.
|
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] | 2108.00617 | Recently, some of us developed a novel model glass-forming liquid with k
extra interactions with pseudo neighbours to each liquid particle over and
above the regular interactions with its neighbours. Analysis of the structure
and dynamics of these systems showed that with an increase in k the systems
have more mean-field like properties. This work presents an extensive study of
the thermodynamics of the above-mentioned model for several values of k and its
correlation with the dynamics. We surprisingly find that the usual
thermodynamic integration (TI) method of calculating the entropy provides
unphysical results for this model. It predicts the vanishing of configurational
entropy at state points at which both the collective and the single-particle
dynamics of the system show complete relaxation. We then employ a new method
known as the two-phase thermodynamics (2PT) method to calculate the entropy. We
find that with an increase in k the difference in the entropy computed using
the two methods (2PT and TI) increases. We also find that in the temperature
range studied, the entropy calculated via the 2PT method satisfies the
Adam-Gibbs (AG) relationship between the relaxation time and the
configurational entropy, whereas the entropy calculated via the TI method shows
a strong violation of the same. We then apply the 2PT method to calculate the
entropy in another system where some fractions of particles are pinned randomly
in their equilibrium positions. This system also shows a similar breakdown of
the AG relationship as reported earlier. We show that the difference in entropy
calculated via the 2PT and TI methods increases with an increase in pinning
density. We also find that when the entropy is calculated using the 2PT method,
the AG relationship between the dynamics and the entropy holds.
|
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] | 1605.07108 | Phase separation and coarsening is a phenomenon commonly seen in binary
physical and chemical systems that occur in nature. Often times, thermal
fluctuations, modeled as stochastic noise, are present in the system and the
phase segregation process occurs on a surface. In this work, the segregation
process is modeled via the Cahn-Hilliard-Cook model, which is a fourth-order
parabolic stochastic system. Coarsening is analyzed on two sample surfaces: a
unit sphere and a dumbbell using a variety and a statistical analysis of the
growth rate is performed. The influence of noise level and mobility is also
investigated. It is also shown that a log-normal distribution fits the results
well.
|
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] | 1302.2910 | In this paper, we study general rotational surfaces in the 4- dimensional
pseudo-Euclidean space E4-2 and obtain a characterization of flat general
rotation surfaces with pointwise 1-type Gauss map in E4-2 and give an example
of such surfaces.
|
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] | hep-ex/0405081 | In this paper recent results in the field of B meson decays to states
containing charm are presented. These analyses are based on the 1999-2003
dataset collected by the BaBar experiment at the PEP-II e+e- storage ring at
the Stanford Linear Accelerator Center. Special attention is devoted to B
decays to final states containing D mesons. In addition a few new results from
B decays to charmonium states are reported.
|
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] | 0901.2841 | The ESA gamma-ray telescope, INTEGRAL, is detecting relatively more
intrinsically rare cataclysmic variables (CVs) than were found by surveys at
lower energies. Specifically, a large fraction of the CVs that are INTEGRAL
sources consists of asynchronous polars and intermediate polars (IPs). IP
classifications have been proposed for the majority of CVs discovered by
INTEGRAL, but, in many cases, there is very little known about these systems.
In order to address this, I present time-resolved optical data of five CVs
discovered through INTEGRAL observations. The white dwarf spin modulation is
detected in high-speed photometry of three of the new CVs (IGR J15094-6649, IGR
J16500-3307, and IGR J17195-4100), but two others (XSS J12270-4859 and IGR
J16167-4957) show no evidence of magnetism, and should be considered
unclassified systems. Spectroscopic orbital period (P_orb) measurements are
also given for IGR J15094-6649, IGR J16167-4957, IGR J16500-3307, and IGR
J17195-4100.
|
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] | 1907.12868 | Collagen fiber orientations in bones, visible with Second Harmonic Generation
(SHG) microscopy, represent the inner structure and its alteration due to
influences like cancer. While analyses of these orientations are valuable for
medical research, it is not feasible to analyze the needed large amounts of
local orientations manually. Since we have uncertain borders for these local
orientations only rough regions can be segmented instead of a pixel-wise
segmentation. We analyze the effect of these uncertain borders on human
performance by a user study. Furthermore, we compare a variety of 2D and 3D
methods such as classical approaches like Fourier analysis with
state-of-the-art deep neural networks for the classification of local fiber
orientations. We present a general way to use pretrained 2D weights in 3D
neural networks, such as Inception-ResNet-3D a 3D extension of
Inception-ResNet-v2. In a 10 fold cross-validation our two stage segmentation
based on Inception-ResNet-3D and transferred 2D ImageNet weights achieves a
human comparable accuracy.
|
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] | 2011.03493 | A principle of information conservation is shown in abstract terms to rule
out probabilistic physical laws, necessitating the existence of state
trajectories. It furthermore provides a geometric-thermodynamic mechanism for
the appearance of probability distributions at the operational level, and thus
may provide a dynamical explanation for Born's rule of quantum probabilities.
This link between geometry and operational probabilities is argued to be a
promising angle from which to study the potential for "hidden information" in
quantum systems, and guide efforts in quantum foundations more generally.
|
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] | 1806.08665 | If ${\cal F}$ is a set of subgraphs $F$ of a finite graph $E$ we define a
graph-counting polynomial $$ p_{\cal F}(z)=\sum_{F\in{\cal F}}z^{|F|} $$ In the
present note we consider oriented graphs and discuss some cases where ${\cal
F}$ consists of unbranched subgraphs $E$. We find several situations where
something can be said about the location of the zeros of $p_{\cal F}$.
|
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] | 1706.02519 | We compute universal distributions for the transition probabilities of a
Markov model for transport in the mixed phase space of area-preserving maps and
verify that the survival probability distribution for trajectories near an
infinite island-around-island hierarchy exhibits, on average, a power law decay
with exponent $\gamma = 1.57$. This exponent agrees with that found from
simulations of the H\'enon and Chirikov-Taylor maps. This provides evidence
that the Meiss-Ott Markov tree model describes the transport for mixed systems.
|
84dc42a7-a35f-46c7-8b75-c4306369bd01 | [
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] | hep-ph/0310181 | We study possible so far unaccounted isospin breaking effects in the relation
between the pion form factor as determined in e^+e^- experiments and the
corresponding quantity obtained after accounting for known isospin breaking
effects by an isospin rotation from the tau--decay spectra. In fact the
observed 10% discrepancy in the respective pion form factors may be explained
by the isospin breaking which is due to the difference between masses and
widths of the charged and neutral rho mesons. Since the hadronic contribution
to the muon anomalous magnetic moment can be calculated directly in terms of
the e^+e^- - data the corresponding evaluation seems to be more reliable. Our
estimate is a_mu(had)=694.8(8.6) x 10^{-10}. The tau - data are usefull at the
presently aimed level of accuracy only after appropriate input from theory.
|
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] | cond-mat/9311040 | Tunneling through a localized barrier in a one-dimensional interacting
electron gas has been studied recently using Luttinger liquid techniques.
Stable phases with zero or unit transmission occur, as well as critical points
with universal fractional transmission whose properties have only been
calculated approximately, using a type of ``$\epsilon$-expansion''. It may be
possible to calculate the universal properties of these critical points exactly
using the recent boundary conformal field theory technique, although
difficulties arise from the $\infty$ number of conformal towers in this $c=4$
theory and the absence of any apparent ``fusion'' principle. Here, we formulate
the problem efficiently in this new language, and recover the critical
properties of the stable phases.
|
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] | 1812.09638 | Despite the great achievements made by neural networks on tasks such as image
classification, they are brittle and vulnerable to adversarial example (AE)
attacks, which are crafted by adding human-imperceptible perturbations to
inputs in order that a neural-network-based classifier incorrectly labels them.
In particular, L0 AEs are a category of widely discussed threats where
adversaries are restricted in the number of pixels that they can corrupt.
However, our observation is that, while L0 attacks modify as few pixels as
possible, they tend to cause large-amplitude perturbations to the modified
pixels. We consider this as an inherent limitation of L0 AEs, and thwart such
attacks by both detecting and rectifying them. The main novelty of the proposed
detector is that we convert the AE detection problem into a comparison problem
by exploiting the inherent limitation of L0 attacks. More concretely, given an
image I, it is pre-processed to obtain another image I' . A Siamese network,
which is known to be effective in comparison, takes I and I' as the input pair
to determine whether I is an AE. A trained Siamese network automatically and
precisely captures the discrepancies between I and I' to detect L0
perturbations. In addition, we show that the pre-processing technique,
inpainting, used for detection can also work as an effective defense, which has
a high probability of removing the adversarial influence of L0 perturbations.
Thus, our system, called AEPECKER, demonstrates not only high AE detection
accuracies, but also a notable capability to correct the classification
results.
|
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] | 1601.00971 | We study the properties of HI gas in the outer regions (~2r_25) of a spiral
galaxy, UGC 00439 (z = 0.01769), using HI 21-cm absorption towards different
components of an extended background radio source, J0041$-$0043 (z = 1.679).
The radio source exhibits a compact core coincident with the optical quasar and
two lobes separated by ~7 kpc, all at an impact parameter ~25 kpc. The HI 21-cm
absorption detected towards the southern lobe is found to extend over ~2 kpc^2.
The absorbing gas shows sub-kpc-scale structures with the line-of-sight
velocities dominated by turbulent motions. Much larger optical depth variations
over 4-7 kpc-scale are revealed by the non-detection of HI 21-cm absorption
towards the radio core and the northern lobe, and the detection of NaI and CaII
absorption towards the quasar. This could reflect a patchy distribution of cold
gas in the extended HI disc. We also detect HI 21-cm emission from UGC 00439
and two other galaxies within ~150 kpc to it, that probably form an interacting
group. However, no HI 21-cm emission from the absorbing gas is detected.
Assuming a linear extent of ~4 kpc, as required to cover both the core and the
southern lobe, we constrain the spin temperature <~300 K for the absorbing gas.
The kinematics of the gas and the lack of signatures of any ongoing in situ
star formation are consistent with the absorbing gas being at the kinematical
minor axis and corotating with the galaxy. Deeper HI 21-cm observations would
help to map in greater detail both the large- and small-scale structures in the
HI gas associated with UGC 00439.
|
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] | 1207.2761 | Accurate vehicular localization is important for various cooperative vehicle
safety (CVS) applications such as collision avoidance, turning assistant, etc.
In this paper, we propose a cooperative vehicular distance measurement
technique based on the sharing of GPS pseudorange measurements and a weighted
least squares method. The classic double difference pseudorange solution, which
was originally designed for high-end survey level GPS systems, is adapted to
low-end navigation level GPS receivers for its wide availability in ground
vehicles. The Carrier to Noise Ratio (CNR) of raw pseudorange measurements are
taken into account for noise mitigation. We present a Dedicated Short Range
Communications (DSRC) based mechanism to implement the exchange of pseudorange
information among neighboring vehicles. As demonstrated in field tests, our
proposed technique increases the accuracy of the distance measurement
significantly compared with the distance obtained from the GPS fixes.
|
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] | 2007.01126 | Multi-task learning (MTL) optimizes several learning tasks simultaneously and
leverages their shared information to improve generalization and the prediction
of the model for each task. Auxiliary tasks can be added to the main task to
ultimately boost the performance. In this paper, we provide a brief review on
the recent deep multi-task learning (dMTL) approaches followed by methods on
selecting useful auxiliary tasks that can be used in dMTL to improve the
performance of the model for the main task.
|
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] | 1810.10909 | In this paper, we present CAIO, a Cognitive and Affective
Interaction-Oriented architecture for social human-robot interactions (HRI),
allowing robots to reason on mental states (including emotions), and to act
physically, emotionally and verbally. We also present a short scenario and
implementation on a Nao robot.
|
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] | 1505.06538 | Much of the data being created on the web contains interactions between users
and items. Stochastic blockmodels, and other methods for community detection
and clustering of bipartite graphs, can infer latent user communities and
latent item clusters from this interaction data. These methods, however,
typically ignore the items' contents and the information they provide about
item clusters, despite the tendency of items in the same latent cluster to
share commonalities in content. We introduce content-augmented stochastic
blockmodels (CASB), which use item content together with user-item interaction
data to enhance the user communities and item clusters learned. Comparisons to
several state-of-the-art benchmark methods, on datasets arising from scientists
interacting with scientific articles, show that content-augmented stochastic
blockmodels provide highly accurate clusters with respect to metrics
representative of the underlying community structure.
|
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] | 1708.07187 | Motivated by the study of directed polymer models with random weights on the
square integer lattice, we define an integrability property shared by the
log-gamma, strict-weak, beta, and inverse-beta models. This integrability
property encapsulates a preservation in distribution of ratios of partition
functions which in turn implies the so called Burke property. We show that
under some regularity assumptions, up to trivial modifications, there exist no
other models possessing this property.
|
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] | 1203.3542 | We extend and explore the general non-relativistic effective theory of dark
matter (DM) direct detection. We describe the basic non-relativistic building
blocks of operators and discuss their symmetry properties, writing down all
Galilean-invariant operators up to quadratic order in momentum transfer arising
from exchange of particles of spin 1 or less. Any DM particle theory can be
translated into the coefficients of an effective operator and any effective
operator can be simply related to most general description of the nuclear
response. We find several operators which lead to novel nuclear responses.
These responses differ significantly from the standard minimal WIMP cases in
their relative coupling strengths to various elements, changing how the results
from different experiments should be compared against each other. Response
functions are evaluated for common DM targets - F, Na, Ge, I, and Xe - using
standard shell model techniques. We point out that each of the nuclear
responses is familiar from past studies of semi-leptonic electroweak
interactions, and thus potentially testable in weak interaction studies. We
provide tables of the full set of required matrix elements at finite momentum
transfer for a range of common elements, making a careful and fully
model-independent analysis possible. Finally, we discuss embedding
non-relativistic effective theory operators into UV models of dark matter.
|
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] | 2302.10482 | In this paper, we use the publicly available observational data of 17 stellar
stars orbiting Sgr A* to test the quantum extension of Schwarzschild spacetime
in loop quantum gravity (LQG). For our purpose, we transform the geodesical
evolution of a massive particle in the quantum-extended Schwarzschild black
hole to the perturbed Kepler problem and calculate the effects of LQG on the
pericentre advance of the stellar stars. With these effects, one is able to
compare them with the publicly available astrometric and spectroscopic data of
stellar stars in the galactic center. We perform Monte Carlo Markov Chain
(MCMC) simulations to probe the possible LQG effects on the orbit of S-stars.
No significant evidence of the quantum-extended Schwarzschild black hole from
LQG is found. Among the posterior analyses of 17 S-stars, the result of S2
gives the strongest bound on the LQG parameter $A_\lambda$, which places an
upper bound at 95\% confidence level on $A_\lambda$ to be $A_\lambda < 0.302$.
|
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] | 1810.11312 | Common signals in public channels of cellular systems are usually transmitted
omnidirectionally from the base station (BS). In recent years, both discrete
and consecutive omnidirectional space-time block codings (STBC) have been
proposed for massive multiple-input multiple-output (MIMO) systems with a
uniform linear array (ULA) configuration to ensure cell-wide coverage. In these
systems, constant received signal power at discrete angles, or constant
received signal sum power in a few consecutive time slots at any angle is
achieved. In addition, equal-power transmission per antenna and full spatial
diversity can be achieved as well. In this letter, by utilizing the property of
orthogonal complementary codes (OCCs), a new consecutive omnidirectional
quasi-orthogonal STBC (QOSTBC) design is proposed, in which constant received
sum power at any angle can be realized with equal-power transmission per
antenna through one STBC transmission, and a higher diversity order of 4 can be
achieved. In addition, the proposed design can be further extended to the
uniform planar array (UPA) configuration with the two-dimensional OCCs.
|
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] | 2107.04795 | Co-training, extended from self-training, is one of the frameworks for
semi-supervised learning. Without natural split of features, single-view
co-training works at the cost of training extra classifiers, where the
algorithm should be delicately designed to prevent individual classifiers from
collapsing into each other. To remove these obstacles which deter the adoption
of single-view co-training, we present a simple and efficient algorithm
Multi-Head Co-Training. By integrating base learners into a multi-head
structure, the model is in a minimal amount of extra parameters. Every
classification head in the unified model interacts with its peers through a
"Weak and Strong Augmentation" strategy, in which the diversity is naturally
brought by the strong data augmentation. Therefore, the proposed method
facilitates single-view co-training by 1). promoting diversity implicitly and
2). only requiring a small extra computational overhead. The effectiveness of
Multi-Head Co-Training is demonstrated in an empirical study on standard
semi-supervised learning benchmarks.
|
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] | 1203.5566 | In this paper we are concerned with the global existence of smooth solutions
to the turbulent flow equations for compressible flows in $\mathbb{R}^3$. The
global well-posedness is proved under the condition that the initial data are
close to the standard equilibrium state in $H^3$-framework. The proof relies on
energy estimates about velocity, temperature, turbulent kinetic energy and rate
of viscous dissipation. We use several new techniques to overcome the
difficulties from the product of two functions and higher order norms. This is
the first result concerning $k$-$\varepsilon$ model equations.
|
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] | 1604.02485 | The use of visual information for the navigation of unmanned ground vehicles
in a cross-country environment recently received great attention. However,
until now, the use of textural information has been somewhat less effective
than color or laser range information. This manuscript reviews the recent
achievements in cross-country scene segmentation and addresses their
shortcomings. It then describes a problem related to classification of high
dimensional texture features. Finally, it compares three machine learning
algorithms aimed at resolving this problem. The experimental results for each
machine learning algorithm with the discussion of comparisons are given at the
end of the manuscript.
|
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] | hep-ph/9308271 | We perform a systematic analysis of the soft supersymmetry-breaking terms
arising from four-dimensional strings. The analysis does not assume any
specific supersymmetry-breaking mechanism but provides a means of parametrizing
our ignorance in a way consistent with some known properties of
four-dimensional strings. We introduce a {\it goldstino angle} parameter
$\theta $ which says where the source of supersymmetry-breaking resides, either
predominantly in the dilaton sector ($sin \theta =1$ limit) or in the rest of
the chiral fieds, notably the moduli ($sin\theta =0$ limit). All formulae for
soft parameters take particularly simple forms when written in terms of this
angle. The $sin\theta =1$ limit is (up to small corrections) universal. As
$sin\theta $ decreases, the model dependence increases and the resulting soft
terms may or may not be universal, depending on the model. General expressions
for the soft terms as functions of $\theta$ for generic four-dimensional
strings are provided. For each {\it given} string model, one trades the four
soft parameters ($M,m,A,B$) of the minimal supersymmetric standard model by the
two parameters $m_{3/2}$ (gravitino mass) and $sin\theta $. The role of complex
phases and the associated constraints from limits on the electric dipole moment
of the neutron are discussed. It is also emphasized the importance of treating
the problem of the cosmological constant in a self-consistent manner.
|
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] | nlin/0111030 | The anomalous scaling of correlation functions in the turbulent statistics of
active scalars (like temperature in turbulent convection) is understood in
terms of an auxiliary passive scalar which is advected by the same turbulent
velocity field. While the odd-order correlation functions of the active and
passive fields differ, we propose that the even-order correlation functions are
the same to leading order (up to a trivial multiplicative factor). The leading
correlation functions are statistically preserved structures of the passive
scalar decaying problem, and therefore universality of the scaling exponents of
the even-order correlations of the active scalar is demonstrated.
|
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0.0114345625,
0.07441983,
0.014991199,
0.024122199,
0.07246067,
-0.008334246,
0.0668732,
-0.031331323,
-0.016770735,
0.003587362,
-0.06807507,
-0.06651495,
-0.004956652,
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] | 0902.1961 | Autoionizing resonances that arise from the interaction of a bound
single-excitation with the continuum can be accurately captured with the
presently used approximations in time-dependent density functional theory
(TDDFT), but those arising from a bound double excitation cannot. In the former
case, we explain how an adiabatic kernel, which has no frequency-dependence,
can yet generate the strongly frequency-dependent resonant structures in the
interacting response function, not present in the Kohn-Sham response function.
In the case of the bound double-excitation, we explain that a strongly
frequency-dependent kernel is needed, and derive one for the vicinity of a
resonance of the latter type, as an {\it a posteriori} correction to the usual
adiabatic approximations in TDDFT. Our approximation becomes exact for an
isolated resonance in the limit of weak interaction, where one discrete state
interacts with one continuum. We derive a "Fano TDDFT kernel" that reproduces
the Fano lineshape within the TDDFT formalism, and also a dressed kernel, that
operates on top of an adiabatic approximation. We illustrate our results on a
simple model system.
|
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] | 1608.00405 | Massive particles with self interactions of the order of 0.2 barn/GeV are
intriguing Dark Matter candidates from an astrophysical point of view. Current
and past experiments for direct detection of massive Dark Matter particles are
focusing to relatively low cross sections with ordinary matter, however they
cannot rule out very large cross sections, $\sigma/M > 0.01$ barn/GeV, due to
atmosphere and material shielding. Cosmology places a strong indirect limit for
the presence of large interactions among Dark Matter and baryons in the
Universe, however such a limit cannot rule out the existence of a small
sub-dominant component of Dark Matter with non negligible interactions with
ordinary matter in our galactic halo. Here, the possibility of the existence of
bound states with ordinary matter, for a similar Dark Matter candidate with not
negligible interactions, is considered. The existence of bound states, with
binding energy larger than $\sim$1 meV, would offer the possibility to test in
laboratory capture cross sections of the order of a barn (or larger). The
signature of the detection for a mass increasing of cryogenic samples, due to
the possible particle accumulation, would allow the investigation of these Dark
Matter candidates with mass up to the GUT scale. A proof of concept for a
possible detection set-up and the evaluation of some noise sources are
described.
|
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] | 0810.2888 | We review the experimental status of the angles of the Unitarity Triangle of
the CKM matrix, as measured by the BABAR and Belle experiments.
|
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] | 2110.10885 | We introduce a notion of harmonic chain for chain complexes over fields of
positive characteristic. A list of conditions for when a Hodge decomposition
theorem holds in this setting is given and we apply this theory to finite CW
complexes. An explicit construction of the harmonic chain within a homology
class is described when applicable. We show how the coefficients of usual
discrete harmonic chains due to Eckmann can be reduced to localizations of the
integers, allowing us to compare classical harmonicity with the notion
introduced here. We focus on applications throughout, including CW
decompositions of orientable surfaces and examples of spaces arising from
sampled data sets.
|
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] | 2208.12745 | This paper introduces advances in the geometry of the ratio of either two or
three points in a line in the Desargues affine plane, and we see this as a
ratio of elements of skew field which are constructed over a line in Desargues
affine plane. The results given here have a clean, geometric presentation based
Desargues affine plan axiomatics and definitions of addition and multiplication
of points on a line in this plane, and for skew field properties. The results
in this paper are: (1) study of properties for ratio of two and three points,
in a line on Desargues affine plane. Also, we discuss the cases related to the
"line-skew field" characteristic, when it is two and when it is different from
two. (2) we have construct the maps for ratio points-set, for two and three
points, and have prove that, this maps are bijections of the lines. (3) set of
ratio points (for two and for three points) with addition and multiplication of
points, forms a skew fields, for more, this skew fields are sub-skew fields of
the 'line-skew field' on Desargues affine plane. (4) Every Dyck polygon
containing co-linear ratio vertices in the Desargues affine plane has a free
group presentation.
|
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] | 2208.05463 | We prove that the moduli space of rational curves with cyclic action,
constructed in our previous work, is realizable as a wonderful compactification
of the complement of a hyperplane arrangement in a product of projective
spaces. By proving a general result on such wonderful compactifications, we
conclude that this moduli space is Chow-equivalent to an explicit toric variety
(whose fan can be understood as a tropical version of the moduli space), from
which a computation of its Chow ring follows.
|
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] | 1502.06597 | We perform two-dimensional hydrodynamical simulations to quantitatively
explore the torque balance criterion for gap-opening (as formulated by Crida et
al. 2006) in a variety of disks when considering a migrating planet. We find
that even when the criterion is satisfied, there are instances when planets
still do not open gaps. We stress that gap-opening is not only dependent on
whether a planet has the ability to open a gap, but whether it can do so
quickly enough. This can be expressed as an additional condition on the
gap-opening timescale versus the crossing time, i.e. the time it takes the
planet to cross the region which it is carving out. While this point has been
briefly made in the previous literature, our results quantify it for a range of
protoplanetary disk properties and planetary masses, demonstrating how crucial
it is for gap-opening. This additional condition has important implications for
the survival of planets formed by core accretion in low mass disks as well as
giant planets or brown dwarfs formed by gravitational instability in massive
disks. It is particularly important for planets with intermediate masses
susceptible to Type III-like migration. For some observed transition disks or
disks with gaps, we expect that estimates on the potential planet masses based
on the torque balance gap-opening criterion alone may not be sufficient. With
consideration of this additional timescale criterion theoretical studies may
find a reduced planet survivability or that planets may migrate further inwards
before opening a gap.
|
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] | 1712.06040 | Ever since the discovery of the Crab and Vela pulsars in their respective
Supernova Remnants, our understanding of how neutron stars manifest themselves
observationally has been dramatically shaped by the surge of discoveries and
dedicated studies across the electromagnetic spectrum, particularly in the
high-energy band. The growing diversity of neutron stars includes the highly
magnetized neutron stars (magnetars) and the Central Compact Objects shining in
X-rays and mostly lacking pulsar wind nebulae. These two subclasses of
high-energy objects, however, seem to be characterized by anomalously high or
anomalously low surface magnetic fields (thus dubbed as `magnetars' and
`anti-magnetars', respectively), and have pulsar characteristic ages that are
often much offset from their associated SNRs' ages. In addition, some neutron
stars act `schizophrenic' in that they occasionally display properties that
seem common to more than one of the defined subclasses. I review the growing
diversity of neutron stars from an observational perspective, then highlight
recent and on-going theoretical and observational work attempting to address
this diversity, particularly in light of their magnetic field evolution, energy
loss mechanisms, and supernova progenitors' studies.
|
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] | astro-ph/9705144 | We calculate the observable signatures of the first generation of stars at
high redshift (5<z<100). To determine the cosmic star-formation history, we use
an extension of the Press-Schechter formalism for Cold Dark Matter (CDM)
cosmologies that incorporates gas pressure. We calibrate the fraction of gas
converted into stars to be 6% so as to reproduce the 1% solar C/H ratio
observed in the intergalactic medium (IGM) at z=3. With this star-formation
efficiency, we find that NGST would be able to image more than 10^4 star
clusters from high redshifts (z>10) within its 4'x4' field of view. If stars
occupy a region comparable to the virial radius of the cluster, then 1% of
these clusters could be resolved. We calculate the expected number-flux
relation and angular size distribution for these early star clusters. We also
describe the reionization of the IGM due to the first generation of stars, and
the consequent damping of the CMB anisotropies on small angular scales. This
damping could be detected below 10 degree angular scales by MAP and PLANCK.
|
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0.02120452,
0.039771385,
-0.026939133,
0.04950961,
-0.058707163,
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0.02357046,
0.039146777,
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0.0035338984,
-0.0018128386,
0.062082913,
0.0040450767,
0.01486756,
0.015282898,
-0.020580504,
0.015124769,
0.024719601,
0.052640535,
0.015248763,
-0.024790369,
0.0064484198,
-0.006377738,
-0.0072064116,
0.0018667199,
0.05505011,
-0.0027963808,
0.062185016,
0.02885602,
0.017087521,
0.047683276,
-0.0057278285,
0.04463596,
-0.05453294,
-0.036250915,
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-0.08450263,
-0.053500615,
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0.011741862,
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0.096079215
] | cond-mat/0401606 | We have measured interlayer current transport in small sized RuSr2GdCu2O8
single crystals. We find a clear intrinsic Josephson effect showing that the
material acts as a natural
superconductor-insulator-ferromagnet-insulator-superconductor superlattice. So
far, we detected no unconventional behavior due to the magnetism of the RuO2
layers.
|
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] | 1204.4125 | We consider the chiral Lagrangian with a nonet of Goldstone bosons and a
nonet of light vector mesons. The mixing between the pseudoscalar mesons eta
and eta-prime is taken into account. A novel counting scheme is suggested that
is based on hadrogenesis, which conjectures a mass gap in the meson spectrum of
QCD in the limit of a large number of colors. Such a mass gap would justify to
consider the vector mesons and the eta-prime meson as light degrees of freedom.
The complete leading order Lagrangian is constructed and discussed. As a first
application it is tested against electromagnetic transitions of light vector
mesons to pseudoscalar mesons. Our parameters are determined by the
experimental data on photon decays of the omega, phi and eta-prime meson. In
terms of such parameters we predict the corresponding decays into virtual
photons with either dielectrons or dimuons in the final state.
|
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] | 1904.09302 | This paper proposes a new control strategy to improve vehicle cornering
performance in a model predictive control framework. The most distinguishing
feature of the proposed method is that the natural handling characteristics of
the production vehicle is exploited to reduce the complexity of the
conventional control methods. For safety s sake, most production vehicles are
built to exhibit an understeer handling characteristics to some extent. By
monitoring how much the vehicle is biased into the understeer state, the
controller attempts to adjust this amount in a way that improves the vehicle
cornering performance. With this particular strategy, an innovative controller
can be designed without road friction information, which complicates the
conventional control methods. In addition, unlike the conventional controllers,
the reference yaw rate that is highly dependent on road friction need not be
defined due to the proposed control structure. The optimal control problem is
formulated in a model predictive control framework to handle the constraints
efficiently, and simulations in various test scenarios illustrate the
effectiveness of the proposed approach.
|
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0.009231454,
0.07600741,
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0.011683482,
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0.005337057,
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] | 0907.3644 | Keeping in view the exchange symmetry aspects in studies on spin squeezing of
multiqubit states, we show that Ising type Hamiltonian does not retain the
exchange symmetry of initially symmetric multiqubit states. Specifically, we
show that all N-qubit states (N greater than or equal to 5) obeying permutation
symmetry lose their symmetry after evolution with one dimensional Ising chain
with nearest neighbor interactions. Among 4-qubit symmetric pure states, only W
type states retain their symmetry under time evolution with Ising Hamiltonian.
|
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] | 1010.6077 | Heavily obscured active galactic nuclei (AGNs) play an important role in
contributing to the cosmic X-ray background (CXRB). However, the AGNs found in
deep X-ray surveys are often too weak to allow direct measurement of the column
density of obscuring matter. One method adopted in recent years to identify
heavily obscured, Compton-thick AGNs under such circumstances is to use the
observed mid-infrared to X-ray luminosity ratio as a proxy for the column
density. This is based on the supposition that the amount of energy lost by the
illuminating X-ray continuum to the obscuring matter and reprocessed into
infrared emission is directly related to the column density and that the proxy
is not sensitive to other physical parameters of the system (aside from
contamination by dust emission from, for example, star-forming regions). Using
Monte Carlo simulations, we find that the energy losses experienced by the
illuminating X-ray continuum in the obscuring matter are far more sensitive to
the shape of the X-ray continuum and to the covering factor of the X-ray
reprocessor than they are to the column density of the material. Specifically
we find that it is possible for the infrared to X-ray luminosity ratio for a
Compton-thin source to be just as large as that for a Compton-thick source even
without any contamination from dust. Since the intrinsic X-ray continuum and
covering factor of the reprocessor are poorly constrained from deep X-ray
survey data, we conclude that the mid-infrared to X-ray luminosity ratio is not
a reliable proxy for the column density of obscuring matter in AGNs even when
there is no other contribution to the mid-infrared luminosity aside from X-ray
reprocessing. This conclusion is independent of the geometry of the obscuring
matter.
|
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] | math/0201125 | Let X be a projective smooth irreducible polarized variety over the field of
complex numbers. Typical examples of wide extensions are vector bundles E that
have a subsheaf F whose slope is much bigger than the slope of E/F, and such
that F and E/F are stable. We study the deformations of such bundles. The case
of unstable rank 2 bundles has been considered by S.A. Stromme on P_2, and by
C. Banica on P_3. We build moduli spaces of wide extensions, and if the
dimension of X is greater than 2, it may even happen that we obtain fine moduli
spaces.
|
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] | 1503.06658 | The quantum mechanical counterpart of the famous Stoner-Wohlfarth model -- an
easy-axis magnet in a tilted magnetic field -- is studied theoretically and
through simulations, as a function of the spin-size $S$ in a sweeping
longitudinal field. Beyond the classical Stoner-Wohlfarth transition, the
sweeping field-induced adiabatic change of states slows down as $S$ increases,
leading to a dynamical quantum phase transition. This result is described as a
critical phenomenon associated with Landau-Zener tunneling gaps at metastable
quasi-avoided crossings. Furthermore, a beating of the magnetization is
discovered after the Stoner-Wohlfarth transition. The period of the beating,
obtained analytically, arises from a new type of quantum phase factor.
|
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] | 2106.01019 | Consider a seller that intends to auction some item. The seller can invest
money and effort in advertising in different market segments in order to
recruit $n$ bidders to the auction. Alternatively, the seller can have a much
cheaper and focused marketing operation and recruit the same number of bidders
from a single market segment. Which marketing operation should the seller
choose?
More formally, let $D=\{\mathcal D_1,\ldots, \mathcal D_n\}$ be a set of
distributions. Our main result shows that there is always $\mathcal D_i\in D$
such that the revenue that can be extracted from $n$ bidders, where the value
of each is independently drawn from $\mathcal D_i$, is at least $\frac 1 2
\cdot (1-\frac 1 e)$ of the revenue that can be obtained by any possible mix of
bidders, where the value of each bidder is drawn from some (possibly different)
distribution that belongs to $D$.
We next consider situations in which the auctioneer cannot use the optimal
auction and is required to use a second price auction. We show that there is
always $\mathcal D_i\in D$ such that if the value of all bidders is
independently drawn from $\mathcal D_i$ then running a second price auction
guarantees a constant fraction of the revenue that can be obtained by a
second-price auction by any possible mix of bidders. Finally, we show that for
any $\varepsilon>0$ there exists a function $f$ that depends only on
$\varepsilon$ (in particular, the function does not depend on $n$ or on the set
$D$), such that recruiting $n$ bidders which have at most $f(\varepsilon)$
different distributions, all from $D$, guarantees $(1-\varepsilon)$-fraction of
the revenue that can be obtained by a second-price auction by any possible mix
of bidders.
|
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] | 1401.7907 | Suppose $\pi_1$ and $\pi_2$ are two Hecke-Maass cusp forms for
$SL(3,\mathbb{Z})$ such that for all primitive character $\chi$ we have $$
L(\tfrac{1}{2},\pi_1\otimes\chi)=L(\tfrac{1}{2},\pi_2\otimes\chi). $$ Then we
show that $\pi_1=\pi_2$.
|
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] | 1606.07595 | We classify the homogeneous and isoparametric hypersurfaces of
$\mathbb{S}^2\times\mathbb{S}^2$. In the classification, besides the
hypersurfaces $\mathbb{S}^1(r)\times\mathbb{S}^2,\,r\in (0,1]$, it appears a
family of hypersurfaces with three different constant principal curvatures and
zero Gauss-Kronecker curvature. Also we classify the hypersurfaces of
$\mathbb{S}^2\times\mathbb{S}^2$ with at most two constant principal curvatures
and, under certain conditions, with three constant principal curvatures.
|