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Radiation in equilibrium with plasma and plasma effects on cosmic microwave backgroundMar 13 2019The spectrum of the radiation of a body in equilibrium is given by Planck's law. In plasma, however, waves below the plasma frequency cannot propagate, consequently, the equilibrium radiation inside plasma is necessary different from the Planck spectrum. ... More

Inverse Bremsstrahlung current driveSep 21 2017The generation of the plasma current resulting from Bremsstrahlung absorption is considered. It is shown that the electric current is higher than the naive estimates assuming that electrons absorb only the photon momentum and using the Spitzer conductivity ... More

Radiative transfer dynamo effectSep 21 2017Magnetic fields in rotating and radiating astrophysical plasma can be produced due to a radiative interaction between plasma layers moving relative to each other. The efficiency of current drive, and with it the associated dynamo effect, is considered ... More

Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equationApr 21 1994Dissipationless shock waves in modulational unstable one-dimensional medium are investigated on the simplest example of integrable focusing nonlinear Schr\''odinger (NS) equation. Our approach is based on the construction of special exact solution of ... More

Disjointness of representations arising in harmonic analysis on the infinite-dimensional unitary groupMay 17 2008Nov 07 2008We prove pairwise disjointness of representations T_{z,w} of the infinite-dimensional unitary group. These representations provide a natural generalization of the regular representation for the case of "big" group U(\infty). They were introduced and studied ... More

The Class of Purely Unrectifiable Sets in the Hilbert Space is coanalytic-completeMar 14 2013The space $F(\ell_2)$ of all closed subsets of $\ell_2$ is a Polish space. We show that the subset $P\subset F(\ell_2)$ consisting of the purely 1-unrectifiable sets is $\Pii$-complete.

On the derived DG functorsApr 12 2010Jan 05 2011Assume that abelian categories $A, B$ over a field admit countable direct limits and that these limits are exact. Let $F: D^+_{dg}(A) --> D^+_{dg}(B)$ be a DG quasi-functor such that the functor $Ho(F): D^+(A) \to D^+(B)$ carries $D^{\geq 0}(A)$ to $D^{\geq ... More

Non-colliding Jacobi processes as limits of Markov chains on Gelfand-Tsetlin graphDec 16 2008We introduce a stochastic dynamics related to the measures that arise in harmonic analysis on the infinite-dimensional unitary group. Our dynamics is obtained as a limit of a sequence of natural Markov chains on Gelfand-Tsetlin graph. We compute finite-dimensional ... More

Non-intersecting paths and Hahn orthogonal polynomial ensembleAug 17 2007We compute the bulk limit of the correlation functions for the uniform measure on lozenge tilings of a hexagon. The limiting determinantal process is a translation invariant extension of the discrete sine process, which also describes the ergodic Gibbs ... More

Around Hilbert-Arnold ProblemNov 06 2001This lectures notes consists of four lectures. The first lecture discusses questions around Hilbert-Arnold Problem which is naturally arises from Quantitative Hilbert 16-th problem. In the second lecture we outline author's solution of a weak form of ... More

Ideal DatabasesDec 30 2015From algebraic geometry perspective database relations are succinctly defined as Finite Varieties. After establishing basic framework, we give analytic proof of Heath theorem from Database Dependency theory. Next, we leverage Algebra/Geometry dictionary ... More

Algorithm for multivariate data standardization up to third momentApr 18 2012An algorithm for transforming multivariate data to a form with normalized first, second and third moments is presented.

Kondo resonance in the case of strong Coulomb screeningNov 05 1995The effect of Coulomb screening on the magnetic impurity behavior is analysed. Two types of the behavior corresponding to either integer or fractional occupation numbers of the low lying magnetic level are described. The features in the dependence of ... More

Pentagramma Mirificum and elliptic functionsJun 18 2011We give an exposition of fragments from Gauss [G] where he discovered, with the help of some work of Jacobi, a remarkable connection between Napier pentagons on the sphere and Poncelet pentagons on the plane. As a corollary we find a parametrization in ... More

Local structure of moduli spacesAug 05 1997Aug 06 1997We describe the algebra of a universal formal deformation as the zeroth cohomology of the dg Lie algebra corresponding to this deformation problem. A report at Arbeitstagung 1997 on the joint work with V.Hinich.

A remark on virtual orientations for complete intersectionsAug 03 1997The aim of this note is to give a simple definition of genus zero virtual orientation classes (or fundamental classes) for projective complete intersections or, more generally, for complete intersections in convex varieties, and to prove a push forward ... More

Moire pattern as a magnifying glass for strain and dislocations in van der Waals heterostructuresAug 07 2014We consider the role of deformations in graphene heterostructures with hexagonal crystals (including strain, wrinkles and dislocations) on the geometrical properties of moire patterns characteristic for a pair of two incommensurate misaligned isostructural ... More

Compositional waves and variations in the atmospheric abundances of magnetic starsFeb 01 2016The stars of the middle main sequence often have relatively quiescent outer layers and spot-like chemical structures may develope in their atmospheres. Recent observations show that abundance peculiarities can change as stars evolve on the main sequence ... More

Element spots in Ap- and HgMn-stars from current-driven diffusionJan 25 2016The stars of the middle main sequence often have spot-like chemical structures at their surfaces. We consider the diffusion process caused by electric currents that can lead to the formation of such chemical spots. Diffusion is considered using the partial ... More

Isospin breaking in pion-deuteron scattering and the pion-nucleon scattering lengthsNov 06 2012In recent years, high-accuracy data for pionic hydrogen and deuterium have become the primary source of information on the pion-nucleon scattering lengths. Matching the experimental precision requires, in particular, the study of isospin-breaking corrections ... More

BeatBox - HPC Simulation Environment for Biophysically and Anatomically Realistic Cardiac ElectrophysiologyMay 19 2016Feb 12 2017The BeatBox simulation environment combines flexible script language user interface with the robust computational tools, in order to setup cardiac electrophysiology in-silico experiments without re-coding at low-level, so that cell excitation, tissue/anatomy ... More

Investigation of heavy ions diffusion under the influence of current-driven mechanism and compositional waves in plasmaMay 25 2016We consider diffusion caused by a combined influence of the Hall effect and electric currents, and argue that such diffusion forms chemical inhomogeneities in plasma. The considered mechanism can be responsible for the formation of element spots in laboratory ... More

Diffusion in plasma: the Hall effect, compositional waves, and chemical spotsSep 12 2016We consider diffusion caused by a combined influence of the electric current and the Hall effect, and argue that such diffusion can form inhomogeneities of the chemical composition in plasma. The considered mechanism can be responsible for a formation ... More

Concavity of Eigenvalue Sums and the Spectral Shift FunctionDec 26 2001It is well known that the sum of negative (positive) eigenvalues of some finite Hermitian matrix $V$ is concave (convex) with respect to $V$. Using the theory of the spectral shift function we generalize this property to self-adjoint operators on a separable ... More

A method of `speed coefficients' for biochemical model reduction applied to the NF-kappaB systemMar 06 2014The relationship between components of biochemical network and the resulting dynamics of the overall system is a key focus of computational biology. However, as these networks and resulting mathematical models are inherently complex and non-linear, the ... More

Efficient population transfer via non-ergodic extended states in quantum spin glassJul 12 2018We analyze a new computational role of coherent multi-qubit quantum tunneling that gives rise to bands of non-ergodic extended (NEE) quantum states each formed by a superposition of a large number of computational states (deep local minima of the energy ... More

The KPZ equation and moments of random matricesJan 08 2018Dec 13 2018The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole-Hopf solution of the Kardar-Parisi-Zhang equation in the sense of one-point distributions.

Spherically Symmetric Random PermutationsNov 06 2016We consider random permutations which are spherically symmetric with respect to a metric on the symmetric group $S_n$ and are consistent as $n$ varies. The extreme infinitely spherically symmetric permutation-valued processes are identified for the Hamming, ... More

Universality of local statistics for noncolliding random walksAug 10 2016Jun 01 2018We consider the $N$-particle noncolliding Bernoulli random walk --- a discrete time Markov process in $\mathbb{Z}^{N}$ obtained from a collection of $N$ independent simple random walks with steps $\in\{0,1\}$ by conditioning that they never collide. We ... More

Normally hyperbolic invariant manifolds near strong double resonanceFeb 06 2012In the present paper we consider a generic perturbation of a nearly integrable system of $n$ and a half degrees of freedom $ H_\epsilon(\theta,p,t)=H_0(p)+\epsilon H_1(\theta,p,t)$, with a strictly convex $H_0$. For $n=2$ we show that at a strong double ... More

The Long Bond, Long Forward Measure and Long-Term Factorization in Heath-Jarrow-Morton ModelsOct 04 2016Jul 27 2017This paper proves existence of the long bond, long forward measure and long-term factorization of the stochastic discount factor (SDF) of Alvarez and Jermann (2005) and Hansen and Scheinkman (2009) in Heath-Jarrow-Morton (HJM) models in the function space ... More

Long-Term Factorization of Affine Pricing KernelsOct 03 2016Jul 27 2017This paper constructs and studies the long-term factorization of affine pricing kernels into discounting at the rate of return on the long bond and the martingale component that accomplishes the change of probability measure to the long forward measure. ... More

General Probabilistic Surface Optimization and Log Density EstimationMar 25 2019In this paper we contribute a novel algorithm family, which generalizes many unsupervised techniques including unnormalized and energy models, and allows to infer different statistical modalities (e.g.~data likelihood and ratio between densities) from ... More

A quantization of the harmonic analysis on the infinite-dimensional unitary groupApr 26 2015Jun 27 2015The present work stemmed from the study of the problem of harmonic analysis on the infinite-dimensional unitary group U(\infty). That problem consisted in the decomposition of a certain 4-parameter family of unitary representations, which replace the ... More

Record-dependent measures on the symmetric groupsFeb 16 2012Feb 14 2014A probability measure $P_n$ on the symmetric group ${\mathfrak S}_n$ is said to be record-dependent if $P_n(\sigma)$ depends only on the set of records of a permutation $\sigma\in{\mathfrak S}_n$. A sequence $P=(P_n)_{n\in{\mathbb N}}$ of consistent record-dependent ... More

A rigidity result for normalized subfactorsMar 12 2019We show a rigidity result for subfactors that are normalized by a representation of a lattice $\Gamma$ in a higher rank simple Lie group with trivial center into a finite factor. This implies that every subfactor of $L\Gamma$ which is normalized by the ... More

Public Git Archive: a Big Code dataset for allMar 20 2018The number of open source software projects has been growing exponentially. The major online software repository host, GitHub, has accumulated tens of millions of publicly available Git version-controlled repositories. Although the research potential ... More

Moments Match between the KPZ Equation and the Airy Point ProcessAug 04 2016Oct 26 2016The results of Amir-Corwin-Quastel, Calabrese-Le Doussal-Rosso, Dotsenko, and Sasamoto-Spohn imply that the one-point distribution of the solution of the KPZ equation with the narrow wedge initial condition coincides with that for a multiplicative statistics ... More

Phase transitions in the time synchronization modelJan 17 2012We continue the study of the time synchronization model from arXiv:1201.2141 . There are two types $i=1,2$ of particles on the line $R$, with $N_{i}$ particles of type $i$. Each particle of type $i$ moves with constant velocity $v_{i}$. Moreover, any ... More

Bars and spheroids in gravimetry problemApr 23 2016The direct gravimetry problem is solved by dividing each deposit body into a set of vertical adjoining bars, whereas in the inverse problem, each deposit body is modelled by a homogeneous ellipsoid of revolution (spheroid). Well-known formulae for the ... More

The probabilistic approach to limited packings in graphsNov 07 2013We consider (closed neighbourhood) packings and their generalization in graphs. A vertex set X in a graph G is a k-limited packing if for any vertex $v\in V(G)$, $\left|N[v] \cap X\right| \le k$, where N[v] is the closed neighbourhood of v. The k-limited ... More

An extension of the Artin-Mazur theoremSep 01 1999Let M be a compact manifold. We call a mapping f in C^r(M,M) an Artin-Mazur mapping if the number of isolated periodic points of f^n grows at most exponentially in n. Artin and Mazur posed the following problem: What can be said about the set of Artin-Mazur ... More

Microlocal approach to Lusztig's symmetriesJan 23 2014Mar 14 2014We reformulate the De Concini -- Toledano Laredo conjecture about the monodromy of the Casimir connection in terms of a relation between the Lusztig's symmetries of quantum group modules and the monodromy in the vanishing cycles of factorizable sheaves. ... More

Chiral De Rham complex over locally complete intersectionsJun 02 2014We define a version of a derived chiral De Rham complex over a locally complete intersection, thereby "chiralizing" a result by Illusie and Bhatt. A similar construction attaches to a graded ring a dg vertex algebra, which we prove to be Morita equivalent ... More

Factorizable D-modulesNov 18 1996A braided tensor category $FM_{\kappa}$ of `factorizable D-modules' over configuration spaces is introduced, analogous to the category $FS_q$ of factorizable sheaves from q-alg/9604001. This category is equivalent to the category of finite dimensional ... More

Galactic Rotation Curve and Spiral Density Wave Parameters from 73 MasersOct 27 2013Based on kinematic data on masers with known trigonometric parallaxes and measurements of the velocities of HI clouds at tangential points in the inner Galaxy, we have refined the parameters of the Allen-Santillan model Galactic potential and constructed ... More

Stars Outside the Hipparcos List Closely Encountering the Solar SystemSep 24 2010Based on currently available kinematic data, we have searched for stars outside the Hipparcos list that either closely encountered in the past or will encounter in the future the Solar system within several parsecs. For the first time, we have identified ... More

Perverse sheaves and graphs on surfacesJan 08 2016We give an explicit combinatorial description of the category Perv(S,N) of perverse sheaves on an oriented surface S (with boundary) with singularities at a given finite set N. The description is given in terms of any spanning graph K in S with the set ... More

Spinor Fields on the Surface of Revolution and their Integrable Deformations via the mKdV-HierarchyJun 21 1999Spinor fields on surfaces of revolution conformally immersed into 3-dimensional space are considered in the framework of the spinor representations of surfaces. It is shown that a linear problem (a 2-dimensional Dirac equation) related with a modified ... More

Periodic orbits in outer billiardsAug 21 2006Sep 28 2006It is shown that the set of 4-period orbits in outer billiard with piecewise smooth convex boundary has an empty interior, provided that no four corners of the boundary form a parallelogram.

Coexistence of periodic-2 and periodic-3 caustics for nearly circular analytic billiard mapsNov 28 2017For symmetrically analytic deformation of the circle (with certain Fourier decaying rate), the necessary condition for the corresponding billiard map to keep the coexistence of periodic $2,3$ caustics is that the deformation has to be an isometric transformation. ... More

Deep Reinforcement Learning for Dynamic Urban Transportation ProblemsJun 14 2018We explore the use of deep learning and deep reinforcement learning for optimization problems in transportation. Many transportation system analysis tasks are formulated as an optimization problem - such as optimal control problems in intelligent transportation ... More

Magnetic and spin evolution of isolated neutron stars with the crustal magnetic fieldJan 12 1998We consider the magnetic and spin evolution of isolated neutron stars assuming that the magnetic field is initially confined to the crust. The evolution of the crustal field is determined by the conductive properties of the crust which, in its turn, depend ... More

Recovering Grammar Relationships for the Java Language SpecificationAug 25 2010Grammar convergence is a method that helps discovering relationships between different grammars of the same language or different language versions. The key element of the method is the operational, transformation-based representation of those relationships. ... More

Atmospheric muons and neutrinosJan 31 2002May 01 2002This paper is a mini-review of the atmospheric muon and neutrino flux calculations based upon a recent version of CORT code and up-to-date data on primary cosmic rays and hadronic interactions. A comparison of calculations with a representative set of ... More

High-energy neutrino oscillations in absorbing matterDec 18 2001Jan 31 2002The impact of neutrino mixing, refraction and absorption on high-energy neutrino propagation through a thick medium is studied using the MSW evolution equation with complex indices of refraction. It is found that, owing to the mixing with sterile neutrinos, ... More

Coxeter element and particle massesDec 13 2016Let $\mathfrak{g}$ be a simple Lie algebra of rank $r$ over $\mathbb{C}$, $\mathfrak{h} \subset \mathfrak{g}$ a Cartan subalgebra. We construct a family of $r$ commuting Hermitian operators acting on $\mathfrak{h}$ whose eigenvalues are equal to the coordinates ... More

Origin of a sensitive dependence of calculated $ββ$-decay amplitudes on the particle-particle residual interactionFeb 14 2011Jul 12 2011In the present work the sensitivity of the QRPA calculation results to a realistic residual interaction is analyzed in the framework of the approach of Refs. \cite{Rum98,Rodin05}. Both Gamow-Teller (GT) and Fermi (F) \bb-decay amplitudes $M^{2\nu}$, along ... More

Dynamical vs. Auxiliary Fields in Gravitational Waves around a Black HoleMar 30 2007Nov 05 2007The auxiliary/dynamic decoupling method of hep-th/0609001 applies to perturbations of any co-homogeneity 1 background (such as a spherically symmetric space-time or a homogeneous cosmology). Here it is applied to compute the perturbations around a Schwarzschild ... More

Quantum Pump for Fractional ChargeDec 19 2007May 06 2008We propose a theoretical scenario for pumping of fractionally charged quasi-particle in the context of $\nu=1/3$ fractional quantum Hall liquid. We consider quasi-particle pumping across an anti-dot level tuned close to the resonance. Fractional charge ... More

Asymptotic behaviour in the time synchronization modelJan 10 2012There are two types $i=1,2$ of particles on the line $R$, with $N_{i}$ particles of type $i$. Each particle of type $i$ moves with constant velocity $v_{i}$. Moreover, any particle of type $i=1,2$ jumps to any particle of type $j=1,2$ with rates $N_{j}^{-1}\alpha_{ij}$. ... More

Quasi-linear dynamics in nonlinear Schr\" odinger equation with periodic boundary conditionsMay 28 2007Feb 15 2008It is shown that a large subset of initial data with finite energy ($L^2$ norm)evolves nearly linearly in nonlinear Schr\" odinger equation with periodic boundary conditions. These new solutions are not perturbations of the known ones such as solitons, ... More

On the Intersection of All Critical Sets of a Unicyclic GraphAug 18 2011A set S is independent in a graph G if no two vertices from S are adjacent. The independence number alpha(G) is the cardinality of a maximum independent set, while mu(G) is the size of a maximum matching in G. If alpha(G)+mu(G)=|V|, then G=(V,E) is called ... More

On Relating Edges in Graphs without Cycles of Length 4Aug 27 2009An edge xy is relating in the graph G if there is an independent set S, containing neither x nor y, such that S_{x} and S_{y} are both maximal independent sets in G. It is an NP-complete problem to decide whether an edge is relating (Brown, Nowakowski, ... More

1-well-covered graphs revisitedOct 13 2016A graph is well-covered if all its maximal independent sets are of the same size (M. D. Plummer, 1970). A well-covered graph (with at least two vertices) is 1-well-covered if the deletion of every vertex leaves a graph which is well-covered as well (J. ... More

On Konig-Egervary Square-Stable GraphsAug 10 2009Aug 25 2009The stability number of a graph G, denoted by alpha(G), is the cardinality of a maximum stable set, and mu(G) is the cardinality of a maximum matching in G. If alpha(G)+mu(G) equals its order, then G is a Konig-Egervary graph. In this paper we deal with ... More

The independence polynomial of a graph at -1Apr 30 2009If alpha=alpha(G) is the maximum size of an independent set and s_{k} equals the number of stable sets of cardinality k in graph G, then I(G;x)=s_{0}+s_{1}x+...+s_{alpha}x^{alpha} is the independence polynomial of G. In this paper we prove that: 1. I(T;-1) ... More

A Simple Proof of an Inequality Connecting the Alternating Number of Independent Sets and the Decycling NumberMay 21 2009If alpha=alpha(G) is the maximum size of an independent set and s_{k} equals the number of stable sets of cardinality k in graph G, then I(G;x)=s_{0}+s_{1}x+...+s_{alpha}x^{alpha} is the independence polynomial of G. In this paper we provide an elementary ... More

Graph Operations that are Good for GreedoidsSep 10 2008S is a local maximum stable set of a graph G, if the set S is a maximum stable set of the subgraph induced by its closed neighborhood. In (Levit, Mandrescu, 2002) we have proved that the family of all local maximum stable sets is a greedoid for every ... More

On the Critical Difference of Almost Bipartite GraphsMay 22 2019A set $S\subseteq V$ is \textit{independent} in a graph $G=\left( V,E\right) $ if no two vertices from $S$ are adjacent. The \textit{independence number} $\alpha(G)$ is the cardinality of a maximum independent set, while $\mu(G)$ is the size of a maximum ... More

Coherence length of neutrino oscillations in quantum field-theoretical approachFeb 10 2019Feb 18 2019We consider a novel quantum field-theoretical approach to the description of processes passing at finite space-time intervals based on the Feynman diagram technique in the coordinate representation. The most known processes of this type are neutrino and ... More

Neutrino oscillation processes with a change of lepton flavor in quantum field-theoretical approachDec 09 2017Nov 06 2018The oscillating probabilities of lepton flavor changing neutrino oscillation processes, where neutrinos are detected by charged-current and neutral-current interactions, are calculated in a quantum field-theoretical approach to neutrino oscillations based ... More

Energy transport in disordered classical spin chainsMay 26 2009We present a numerical study of the diffusion of energy at high temperature in strongly disordered chains of interacting classical spins evolving deterministically. We find that quenched randomness strongly suppresses transport, with the diffusion constant ... More

Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettesJul 27 2008Jan 27 2009A mixed Ising-Heisenberg spin system consisting of triangular XXZ-Heisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle is considered. The exact solution of the model is given in ... More

A Note on Feller Semigroups and ResolventsFeb 19 2011Various equivalent conditions for a semigroup or a resolvent generated by a Markov process to be of Feller type are given.

The Information Theory of Emotions of Musical ChordsSep 22 2009Sep 10 2011The paper offers a solution to the centuries-old puzzle - why the major chords are perceived as happy and the minor chords as sad - based on the information theory of emotions. A theory and a formula of musical emotions were created. They define the sign ... More

First global next-to-leading order determination of diffractive parton distribution functions and their uncertainties within the {\tt xFitter} frameworkFeb 05 2018Apr 09 2018We present {\tt GKG18-DPDFs}, a next-to-leading order (NLO) QCD analysis of diffractive parton distribution functions (diffractive PDFs) and their uncertainties. This is the first global set of diffractive PDFs determined within the {\tt xFitter} framework. ... More

KdV shock-like waves as invariant solutions of KdV equation symmetriesApr 07 1994We consider the following hypothesis: some of KdV equation shock-like waves are invariant with respect to the combination of the Galilean symmetry and KdV equation higher symmetries. Also we demonstrate our approach on the example of Burgers equation. ... More

Dichotic harmony for the musical practiceMay 14 2010Jul 05 2010The dichotic method of hearing sound adapts in the region of musical harmony. The algorithm of the separation of the being dissonant voices into several separate groups is proposed. For an increase in the pleasantness of chords the different groups of ... More

Major and minor. The formula of musical emotionsMay 22 2009Sep 01 2009The new formulas, which determine sign and amplitude of utilitarian emotions, are proposed on the basis of the information theory of emotions. In area of perception of musical chords the force of emotions depends on the relative pitch of sounds of major ... More

Kinetic Entropy as a Diagnostic in Particle-in-Cell Simulations of Astrophysical, Heliospheric, and Planetary PlasmasFeb 07 2019We describe a systematic development of kinetic entropy as a diagnostic in fully kinetic electromagnetic particle-in-cell (PIC) simulations and investigate some of its uses to interpret plasma physics processes in astrophysical, heliospheric, and planetary ... More

Theory of a Narrow roton Absorption Line in the Spectrum of a Disk-Shaped SHF ResonatorSep 22 2010Feb 27 2011We calculate the probability of the birth of a circular phonon (c-phonon) in He II by a c-photon of the resonator. It is shown that this probability has sharp maxima at frequencies, where the effective group velocity of the c-phonon is equal to zero; ... More

Mach-Zehnder interferometer in the Fractional Quantum Hall regimeDec 23 2006Aug 15 2007We consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of the interferometer ... More

Factorizable sheaves and quantum groupsDec 01 1997Apr 15 1998The category $\cal{C}$ (studied by Andersen-Jantzen-Soergel) of representations of a Lusztig's small quantum group at a root of unity, together with its modular structure, is defined geometrically, using configuration spaces.

Kinematic Control of the Inertiality of the System of Tycho-2 and UCAC2 Stellar Proper MotionsAug 26 2006Based on the Ogorodnikov-Milne model, we analyze the proper motions of Tycho-2 and UCAC2 stars. We have established that the model component that describes the rotation of all stars under consideration around the Galactic y axis differs significantly ... More

Coherent States for generalized oscillator with finite-dimensional Hilbert spaceDec 19 2006The construction of oscillator-like systems connected with the given set of orthogonal polynomials and coherent states for such systems developed by authors is extended to the case of the systems with finite-dimensional state space. As example we consider ... More

Effects of next-to-leading order DGLAP evolution on generalized parton distributions of the proton and deeply virtual Compton scattering at high energyAug 18 2017Jan 14 2018We studied the effects of NLO $Q^2$ evolution of generalized parton distributions (GPDs) using the aligned-jet model for the singlet quark and gluon GPDs at an initial evolution scale. We found that the skewness ratio for quarks is a slow logarithmic ... More

Transverse Thermoelectric Response as a Probe for Existence of QuasiparticlesSep 07 2016The electrical Hall conductivities of any anisotropic interacting system with reflection symmetry obey sigma_{xy} = - sigma_{yx}. In contrast, we show that the analogous relation between the transverse thermoelectric Peltier coefficients, alpha_{xy}= ... More

Neutrino Velocity Anomalies: A Resolution without a RevolutionOct 05 2011We argue that the neutrino advance of time observed in MINOS and OPERA experiments can be explained in the framework of the standard relativistic quantum theory as a manifestation of the large effective transverse size of the eigenmass neutrino wavepackets. ... More

On optimality of Bayesian testimation in the normal means problemDec 06 2007We consider a problem of recovering a high-dimensional vector $\mu$ observed in white noise, where the unknown vector $\mu$ is assumed to be sparse. The objective of the paper is to develop a Bayesian formalism which gives rise to a family of $l_0$-type ... More

Stochastic Chemical Kinetics with Energy ParametersDec 18 2011Abstact: We introduce new models of energy redistribution in stochastic chemical kinetics with several molecule types and energy parameters. The main results concern the situations when there are product form measures. Using a probabilistic interpretation ... More

Contraction semigroups on metric graphsDec 06 2007Feb 26 2008The main objective of the present work is to study contraction semigroups generated by Laplace operators on metric graphs, which are not necessarily self-adjoint. We prove criteria for such semigroups to be continuity and positivity preserving. Also we ... More

Conditions for propagation and block of excitation in an asymptotic model of atrial tissueNov 07 2005Dec 08 2005Detailed ionic models of cardiac cells are difficult for numerical simulations because they consist of a large number of equations and contain small parameters. The presence of small parameters, however, may be used for asymptotic reduction of the models. ... More

Normally Hyperbolic Invariant Laminations and diffusive behaviour for the generalized Arnold example away from resonancesNov 16 2015In this paper we study existence of Normally Hyperbolic Invariant Laminations (NHIL) for a nearly integrable system given by the product of the pendulum and the rotator perturbed with a small coupling between the two. This example was introduced by Arnold. ... More

Marked Length Spectral determination of analytic chaotic billiards with axial symmetriesMay 02 2019May 08 2019We consider billiards obtained by removing from the plane finitely many strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift, which provides ... More

Upper bounds for alpha-domination parametersMay 05 2008In this paper, we provide a new upper bound for the alpha-domination number. This result generalises the well-known Caro-Roditty bound for the domination number of a graph. The same probabilistic construction is used to generalise another well-known upper ... More

The Stau Neutralino Co-annihilation Region at an International Linear ColliderMar 17 2005We probe the stau-neutralino co-annihilation domain of the parameter space allowed by the current experimental bounds on the light Higgs mass, the b-> s \gamma decay, and the amount of neutralino cold dark matter within the framework of minimal SUGRA ... More

Many-body theory for angular resolved photoelectron spectra of metal clustersApr 30 2009Angular resolved photoelectron spectra of metal clusters have been experimentally measured for the first time only recently. These measurements have been performed systematically for sodium clusters in a broad range of cluster sizes. This work attracted ... More

Deep CNN based feature extractor for text-prompted speaker recognitionMar 13 2018Deep learning is still not a very common tool in speaker verification field. We study deep convolutional neural network performance in the text-prompted speaker verification task. The prompted passphrase is segmented into word states - i.e. digits -to ... More

Clique-width and Well-Quasi-Ordering of Triangle-Free Graph ClassesNov 23 2017Daligault, Rao and Thomass\'e asked whether every hereditary graph class that is well-quasi-ordered by the induced subgraph relation has bounded clique-width. Lozin, Razgon and Zamaraev (JCTB 2017+) gave a negative answer to this question, but their counterexample ... More