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Imaging of interlayer coupling in van der Waals heterostructures using a bright-field optical microscopeDec 23 2016May 01 2017Vertically stacked atomic layers from different layered crystals can be held together by van der Waals forces, which can be used for building novel heterostructures, offering a platform for developing a new generation of atomically thin, transparent and ... More

Complete moduli in the presence of semiabelian group actionMay 18 1999Sep 15 2004I prove the existence, and describe the structure, of moduli space of pairs $(p,\Theta)$ consisting of a projective variety $P$ with semiabelian group action and an ample Cartier divisor on it satisfying a few simple conditions. Every connected component ... More

Linearised actions for $\cal N$-extended (higher-spin) superconformal gravityMay 29 2019Jun 07 2019The off-shell actions for $\cal N$-extended conformal supergravity theories in three dimensions were formulated in [1,2] for $1\leq {\cal N} \leq 6$ using a universal approach. Each action is generated by a closed super three-form which is constructed ... More

Universal equivalence of partially commutative metabelian Lie algebrasJul 03 2011Jul 07 2012In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutative metabelian Lie algebras.

Auxiliary tensor fields for Sp(2,R) self-dualityDec 18 2014The coset Sp(2,R)/U(1) is parametrized by two real scalar fields. We generalize the formalism of auxiliary tensor (bispinor) fields in U(1) self-dual nonlinear models of abelian gauge fields to the case of Sp(2,R) self-duality. In this new formulation, ... More

BayesSummaryStatLM: An R package for Bayesian Linear Models for Big Data and Data ScienceMar 02 2015Apr 23 2015Recent developments in data science and big data research have produced an abundance of large data sets that are too big to be analyzed in their entirety, due to limits on either computer memory or storage capacity. Here, we introduce our R package 'BayesSummaryStatLM' ... More

Tunneling Anisotropic Magnetoresistance in Ferroelectric Tunnel JunctionsMay 31 2019Using a simple quantum-mechanical model, we explore a tunneling anisotropic magnetoresistance (TAMR) effect in ferroelectric tunnel junctions (FTJs) with a ferromagnetic electrode and a ferroelectric barrier layer, which spontaneous polarization gives ... More

ADE surfaces and their moduliDec 21 2017Jan 12 2018We define a class of surfaces and surface pairs corresponding to the ADE root lattices and construct compactifications of their moduli spaces, generalizing Losev-Manin spaces of curves.

Comment on Sound Dispersion in Single-Component SystemApr 30 2009This paper was initiated by publication of Ref. [1] and can be considered as Comments on Ref. [1]. Authors of Ref. [1] investigate analytically the propagation of sound waves in one component monatomic gas (especially for the intermediate Knudses number ... More

Generalized Quantum Hydrodynamics and Principles of non-Local PhysicsSep 01 2007Jul 31 2008This paper addresses the fundamental principles of generalized Boltzmann physical kinetics, as a part of non-local physics. It is shown that the theory of transport processes (including quantum mechanics) can be considered in the frame of unified theory ... More

Complete moduli spaces of branchvarietiesFeb 27 2006Aug 06 2006The space of subvarieties of P^n with a fixed Hilbert polynomial is not complete. Grothendieck defined a completion by relaxing "variety" to "scheme", giving the complete_Hilbert scheme_ of subschemes of P^n with fixed Hilbert polynomial. We instead relax ... More

Moduli of affine schemes with reductive group actionJan 24 2003Sep 15 2003For a connected reductive group G and a finite-dimensional G-module V, we study the invariant Hilbert scheme that parameterizes closed G-stable subschemes of V affording a fixed, multiplicity-finite representation of G in their coordinate ring. We construct ... More

Derived categories of Burniat surfaces and exceptional collectionsAug 21 2012Aug 28 2012We construct an exceptional collection $\Upsilon$ of maximal possible length 6 on any of the Burniat surfaces with $K_X^2=6$, a 4-dimensional family of surfaces of general type with $p_g=q=0$. We also calculate the DG algebra of endomorphisms of this ... More

Stable spherical varieties and their moduliMay 31 2005We introduce a notion of stable spherical variety which includes the spherical varieties under a reductive group $G$ and their flat equivariant degenerations. Given any projective space $\bP$ where $G$ acts linearly, we construct a moduli space for stable ... More

Majorana neutrinos and other Majorana particles:Theory and experimentDec 10 2014This is a somewhat modified version of Chapter 15 of the book "The Physics of Ettore Majorana", by Salvatore Esposito with contributions by Evgeny Akhmedov (Ch. 15) and Frank Wilczek (Ch. 14), Cambridge University Press, 2014.

Conformal spectral theory for the monodromy matrixDec 11 2006For any $N\ts N$ monodromy matrix we define the Lyapunov function, which is analytic on an associated N-sheeted Riemann surface. On each sheet the Lyapunov function has the standard properties of the Lyapunov function for the Hill operator. The Lyapunov ... More

Geometrical approach to modeling of nonlinear systems from experimental dataFeb 28 2014This monograph presents a geometric modeling method nonlinear dynamical systems from experimental data . basis method is a qualitative approach to the analysis of linear models and construction of the symmetry groups of attractors of dynamical systems ... More

Characterization of intrinsically harmonic formsJun 15 2007Let $M$ be a closed oriented manifold of dimension $n$ and $\omega$ a closed 1-form on it. We discuss the question whether there exists a Riemannian metric for which $\omega$ is co-closed. For closed 1-forms with nondegenerate zeros the question was answered ... More

Thermodynamics of the Binary Symmetric ChannelSep 10 2015We study a hidden Markov process which is the result of a transmission of the binary symmetric Markov source over the memoryless binary symmetric channel. This process has been studied extensively in Information Theory and is often used as a benchmark ... More

A new approach to the family of singularities $Re(x+iy)^m$Sep 17 2008Assume that $m\ge 2$ and let $l$ be a nonnegative integer with $l\ge m-4$. We give an alternative proof of the fact that any smooth function defined locally around $(0,0)\in \mathbb{R}^2$ with the Taylor power series at $(0,0)$ beginning with $$Re(x+iy)^m+0+...+0$$ ... More

The median Genocchi numbers, Q-analogues and continued fractionsNov 03 2011Jun 09 2012The goal of this paper is twofold. First, we review the recently developed geometric approach to the combinatorics of the median Genocchi numbers. The Genocchi numbers appear in this context as Euler characteristics of the degenerate flag varieties. Second, ... More

On critical collapse of gravitational wavesAug 19 2010Dec 23 2010An axisymmetric collapse of non-rotating gravitational waves is numerically investigated in the subcritical regime where no black holes form but where curvature attains a maximum and decreases, following the dispersion of the initial wave packet. We focus ... More

On the base size of a transitive group with solvable point stabilizerNov 19 2010Jun 22 2018We prove that the base size of a transitive group $G$ with solvable point stabilizer and with trivial solvable radical is not greater than $k$ provided the same statement holds for the group of $G$-induced automorphisms of each nonabelian composition ... More

The destiny of constant structure discrete time closed semantic systemsNov 19 2017Constant structure closed semantic systems are the systems each element of which receives its definition through the correspondent unchangeable set of other elements of the system. Discrete time means here that the definitions of the elements change iteratively ... More

The Bott Formula for Toric VarietiesApr 21 1999May 14 2001The purpose of this paper is to give an explicit formula which allows one to compute the dimension of the cohomology groups of the sheaf $\Omega_{\P}^p(D)$ of p-th differential forms of Zariski twisted by an ample invertible sheaf on a complete simplicial ... More

Swing amplification and global modes reciprocity in models with cuspsAug 05 2016Using 3D N-body simulations we analyse an onset of the bar in cuspy models, and argue that role of swing amplification is twofold. Amplified shot noise due to disc discreteness hampers bar formation, while induced resonance perturbations allow bar amplitude ... More

Atmospheric neutrinos, $nu_e-nu_s$ oscillations, and a novel neutrino evolution equationJun 23 2016Sep 28 2016If a sterile neutrino nu_s with an eV-scale mass and a sizeable mixing to the electron neutrino exists, as indicated by the reactor and gallium neutrino anomalies, a strong resonance enhancement of nu_e-nu_s oscillations of atmospheric neutrinos should ... More

Degenerate flag varieties and the median Genocchi numbersJan 10 2011Jan 14 2011We study the $\bG_a^M$ degenerations $\Fl^a_\la$ of the type $A$ flag varieties $\Fl_\la$. We describe these degenerations explicitly as subvarieties in the products of Grassmanians. We construct cell decompositions of $\Fl^a_\la$ and show that for complete ... More

Nuclear Chiral EFT in the Precision EraOct 25 2015Chiral effective field theory has established itself as the method of choice to study nuclear forces and low-energy nuclear dynamics. I review the status and prospects of this approach and discuss ongoing efforts to advance the precision frontier for ... More

Nuclear Physics with Chiral Effective Field Theory: State of the Art and Open ChallengesFeb 13 2013Understanding the properties of atomic nuclei and nuclear dynamics from QCD remains a major challenge. Complementary to first attempts along these lines based on lattice QCD, an effective field theory approach has been developed in the past two decades ... More

C$ν$B detection through angular correlations in inverse $β$-decayMay 24 2019Neutrino capture on beta-decaying nuclei is currently the only known potentially viable method of detection of cosmic background neutrinos. It is based on the idea of separation of the spectra of electrons or positrons produced in captures of relic neutrinos ... More

Grassmannians, flag varieties, and Gelfand-Zetlin polytopesAug 12 2015These are extended notes of a talk given at Maurice Auslander Distinguished Lectures and International Conference (Woods Hole, MA) in April 2013. Their aim is to give an introduction into Schubert calculus on Grassmannians and flag varieties. We discuss ... More

Non-rational centers of log canonical singularitiesSep 19 2011Jun 28 2012We show that if $(X,B)$ is a log canonical pair with $\dim X\geq d+2$, whose non-klt centers have dimension $\geq d$, then $X$ is has depth $\ge d+2$ at every closed point.

Extreme thermodynamics with polymer gel tori: harnessing thermodynamic instabilities to induce large-scale deformationsJun 28 2018When a swollen, thermoresponsive polymer gel is heated in a solvent bath, it expels solvent and deswells. When this heating is slow, deswelling proceeds homogeneously, as observed in a toroid-shaped gel that changes volume whilst maintaining its toroidal ... More

Investigation of scaling properties of a thin current sheet by means of particle trajectories studyJun 17 2015A thin current sheet (TCS), with the width of an order of thermal proton gyroradius, appears a fundamental physical object which plays an important role in structuring of major magnetospheric current systems (magnetotail, magnetodisk, etc.). The TCSs ... More

Spectral estimates for Schrödinger operator with periodic matrix potentials on the real lineAug 29 2005We consider the Schr\"odinger operator on the real line with a $N\ts N$ matrix valued periodic potential, N>1. The spectrum of this operator is absolutely continuous and consists of intervals separated by gaps. We define the Lyapunov function, which is ... More

Minimax Error of Interpolation and Optimal Design of Experiments for Variable Fidelity DataOct 21 2016Engineering problems often involve data sources of variable fidelity with different costs of obtaining an observation. In particular, one can use both a cheap low fidelity function (e.g. a computational experiment with a CFD code) and an expensive high ... More

Impact of continuous particle injection on generation and decay of the magnetic field in collisionless shocksMar 25 2016Jun 03 2016We present numerical simulations of the magnetic field turbulence in collisionless electron-positron plasma with continuous injection of new pairs, which maintains anisotropy in the particle distribution over long time. {With these simulations we follow ... More

Casimir electromotive force in periodic configurationsJan 24 2016The possibility in principle of the existence of Casimir electromotive force (EMF) is shown for nonparallel nanosized metal plates arranged in the form of a periodic structure. It is found that EMF does not appear in strictly periodic structures with ... More

Generalized Weyl modules for twisted current algebrasJun 16 2016We introduce the notion of generalized Weyl modules for twisted current algebras. We study their representation-theoretic and combinatorial properties and connection to the theory of nonsymmetric Macdonald polynomials. As an application we compute the ... More

A weighted binary average of point-normal pairs with application to subdivision schemesAug 14 2016Subdivision is a well-known and established method for generating smooth curves and surfaces from discrete data by repeated refinements. The typical input for such a process is a mesh of vertices. In this work we propose to refine 2D data consisting of ... More

Casimir EMFOct 29 2014Sep 14 2015In the present paper, it is shown that the existence of the Casimir electromotive force (EMF) is possible in nanosized configurations with nonclosed nonparallel metal plates. The nature of such EMF is associated with the drag current generation at the ... More

On a test on switching separability of graphs modulo $q$Dec 09 2014We consider the graphs whose edges are marked by the integers (weights) from $0$ to $q-1$ (zero corresponds to no-edge). Such graph is called additive if its vertices can be marked in such a way that the weight of every edge is equal to the modulo-$q$ ... More

Zeta-invariants of the Steklov spectrum for a planar domainApr 08 2014The classical inverse problem of recovering a simply connected smooth planar domain from the Steklov spectrum \cite{E} is equivalent to the problem of recovering, up to a conformal equivalence, a positive function $a\in C^\infty({\mathbb S})$ on the unit ... More

Asymptotic properties of parallel Bayesian kernel density estimatorsNov 09 2016Mar 26 2017In this article we perform an asymptotic analysis of Bayesian parallel kernel density estimators introduced by Neiswanger, Wang and Xing (2014). We derive the asymptotic expansion of the mean integrated squared error for the full data posterior estimator ... More

Equicontinuity of the family of the open discrete Orlicz--Sobolev mappingsMar 06 2013Sep 17 2014The paper is devoted to the study of mappings with non--bounded characteristics of quasiconformality. We investigate the interconnection between the classes of the so-called ring $Q$-mappings and lower ring $Q$-mappings. It is proved that open discrete ... More

Integrable Hierarchy of the Quantum Benjamin-Ono EquationSep 25 2013Dec 08 2013A hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many variables $x_1,x_2,\ldots$. This ... More

KdV Hamiltonian as function of actionsOct 20 2011We prove that the non-linear part of the Hamiltonian of the KdV equation on the circle, written as a function of the actions, defines a continuous convex function on the $\ell^2$ space and derive for it lower and upper bounds in terms of some functions ... More

Resonances of 4-th Order Differential OperatorsMar 06 2017Dec 12 2017We consider fourth order ordinary differential operator with compactly supported coefficients on the line. We determine asymptotics of the number of resonances in complex discs at large radius. We consider resonances of an Euler-Bernoulli operator on ... More

Tate Resolutions for Segre EmbeddingsNov 04 2007Jun 07 2008We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of $\P^a\times\P^b$. We prove that the maps in this Tate resolution are either coming from Sylvester-type maps, or from Bezout-type ... More

Moduli of holomorphic functions and logarithmically convex radial weightsJan 26 2013Apr 01 2015Let $H(D)$ denote the space of holomorphic functions on the unit disk $D$. We characterize those radial weights $w$ on $D$, for which there exist functions $f, g \in H(D)$ such that the sum $|f| + |g|$ is equivalent to $w$. Also, we obtain similar results ... More

On decay of entropy solutions to multidimensional conservation lawsApr 02 2019Under a precise genuine nonlinearity assumption we establish the decay of entropy solutions of a multidimensional scalar conservation law with merely continuous flux.

On long time behavior of periodic entropy solutions of a degenerate non-linear parabolic equationFeb 12 2018We prove the asymptotic convergence of a space-periodic entropy solution of a one-dimensional degenerate parabolic equation to a traveling wave. It is also shown that on a segment containing the essential range of the limit profile the flux function is ... More

On Vaisala inequality for angular dilatation of mappings and some applicationsMar 25 2014Apr 13 2014We study some type of mappings with finite distortion $f:D\rightarrow D^{\prime},$ $D, D^{\prime}\subset{\Bbb R}^n,$ $n\ge 2,$ which admit branch points. It is proved some inequality playing essential role at investigation of some problems of plane and ... More

Generalized Weyl modules, alcove paths and Macdonald polynomialsDec 10 2015Sep 06 2016Classical local Weyl modules for a simple Lie algebra are labeled by dominant weights. We generalize the definition to the case of arbitrary weights and study the properties of the generalized modules. We prove that the representation theory of the generalized ... More

Zhu's algebra and the $C_2$-algebra in the symplectic and the orthogonal casesNov 16 2009We prove that Zhu's algebra and the $C_2$-algebra of type ${\tt C}_m$ have the same dimension, and we compute the graded character of the latter. Maximal parabolic subalgebras of the symplectic algebra play a central role in our construction. For the ... More

Generalized Weyl modules for twisted current algebrasJun 16 2016Nov 25 2016We introduce the notion of generalized Weyl modules for twisted current algebras. We study their representation-theoretic and combinatorial properties and connection to the theory of nonsymmetric Macdonald polynomials. As an application we compute the ... More

Initial Data for Black Holes and Black Strings in 5dNov 22 2002Mar 05 2003We explore time-symmetric hypersurfaces containing apparent horizons of black objects in a 5d spacetime with one coordinate compactified on a circle. We find a phase transition within the family of such hypersurfaces: the horizon has different topology ... More

Miura Opers and Critical Points of Master FunctionsDec 22 2003Oct 12 2004Critical points of a master function associated to a simple Lie algebra \g come in families called the populations [MV1]. We prove that a population is isomorphic to the flag variety of the Langlands dual Lie algebra \g^t. The proof is based on the correspondence ... More

Remarks on critical points of phase functions and norms of Bethe vectorsOct 14 1998We consider a tensor product of a Verma module and the linear representation of $sl(n+1)$. We prove that the corresponding phase function, which is used in the solutions of the KZ equation with values in the tensor product, has a unique critical point ... More

Periodic Jacobi operator with finitely supported perturbationsJun 08 2010We describe the spectral properties of the Jacobi operator $(Hy)_n= a_{n-1} y_{n-1}+a_{n}y_{n+1}+b_ny_n,$ $n\in\Z,$ with $a_n=a_n^0+ u_n,$ $b_n= b_n^0+ v_n,$ where sequences $a_n^0>0,$ $b_n^0\in\R$ are periodic with period $q$, and sequences $ u_n,$ $ ... More

Resonances for the radial Dirac operatorsApr 24 2014May 21 2014We consider the radial Dirac operator with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: 1) asymptotics ... More

Harmonic Space Construction of the Quaternionic Taub-NUT metricOct 01 1998Oct 07 1998We present details of the harmonic space construction of a quaternionic extension of the four-dimensional Taub-NUT metric. As the main merit of the harmonic space approach, the metric is obtained in an explicit form following a generic set of rules. It ... More

Analog of Montel theorem for mappings of Sobolev class with finite distortionApr 18 2014The present paper is devoted to the study of classes of mappings with non-bounded characteristic of quasiconformality. It is obtained a result on normal families of the open discrete mappings $f:D\rightarrow {\Bbb C}\setminus\{a, b\}$ of the class $W_{loc}^{1, ... More

On lower order of mappings with finite length distortionFeb 15 2014May 17 2014For mappings of finite distortion actively investigated last 15--20 years, problems of a so-called lower order are discussed. It is proved that, mappings with finite length distortion $f:D\rightarrow {\Bbb R}^n,$ $n\ge 2,$ which have locally integrable ... More

Determinantal identities for flagged Schur and Schubert polynomialsOct 25 2014Sep 28 2015We prove new determinantal identities for a family of flagged Schur polynomials. As a corollary of these identities we obtain determinantal expressions of Schubert polynomials for certain vexillary permutations.

A braid group action on parking functionsDec 02 2011Sep 20 2013We construct an action of the braid group on $n$ strands on the set of parking functions of $n$ cars such that elementary braids have orbits of length 2 or 3. The construction is motivated by a theorem of Lyashko and Looijenga stating that the number ... More

Weak and strong limit valuesMay 06 2011Oct 03 2012The classical results about the boundary values of holomorphic or harmonic functions on a domain $D$ state that under additional integrability assumptions these functions have limits along specific sets approaching boundary. The proofs of these results ... More

On decay of almost periodic viscosity solutions to Hamilton-Jacobi equationsNov 08 2017We establish that a viscosity solution to a multidimensional Hamilton-Jacobi equation with a convex non-degenerate hamiltonian and Bohr almost periodic initial data decays to its infimum as time $t\to+\infty$.

Lax operator for Macdonald symmetric functionsNov 05 2014Jun 23 2015Using the Lax operator formalism, we construct a family of pairwise commuting operators such that the Macdonald symmetric functions of infinitely many variables and of two parameters $q,t$ are their eigenfunctions. We express our operators in terms of ... More

Vertices of FFLV polytopesApr 29 2016FFLV polytopes describe monomial bases in irreducible representations of $\mathfrak{sl}_n$. We study various sets of vertices of FFLV polytopes. First, we prove the locality of set of vertices with respect to the type A Dynkin diagram. Second, we describe ... More

On boundary behavior of mappings in terms of prime endsFeb 01 2016Jan 22 2017A boundary behavior of mappings, which are closely related with Sobolev and Orlicz--Sobolev classes in the plane and in the space, is investigated. There are obtained theorems on boundary behavior of classes mentioned above.

On the lightness of the limit of sequence of mappings satisfying some modular inequalityOct 15 2015Jan 02 2016A paper is devoted to study of one class of space mappings which are more general than mappings with bounded distortion. It is showed that a locally uniformly limit of a sequence of mappings $f:D\rightarrow {\Bbb R}^n$ of domain $D\subset{\Bbb R}^n,$ ... More

A Survey on Sentiment and Emotion Analysis for Computational Literary StudiesAug 09 2018Emotions have often been a crucial part of compelling narratives: literature tells about people with goals, desires, passions, and intentions. In the past, classical literary studies usually scrutinized the affective dimension of literature within the ... More

Assessment Of The Wind Farm Impact On The RadarFeb 13 2010This study shows the means to evaluate the wind farm impact on the radar. It proposes the set of tools, which can be used to realise this objective. The big part of report covers the study of complex pattern propagation factor as the critical issue of ... More

Upper bounds for Total Cross Section in scattering by an obstacle with impedance boundary conditionsMay 09 2008The scalar scattering of a plane wave by a smooth obstacle with impedance boundary conditions is considered. Upper bounds for the Total Cross Section and for the absorbed power are presented.

Gauged spinning models with deformed supersymmetryOct 13 2016New models of the SU(2|1) supersymmetric mechanics based on gauging the systems with dynamical (1,4,3) and semi-dynamical (4,4,0) supermultiplets are presented. We propose a new version of SU(2|1) harmonic superspace approach which makes it possible to ... More

On a zeta-function of a dg-categoryJun 18 2015We define a zeta-function of a pre-triangulated dg-category and investigate its relationship with the motivic zeta-function in the geometric case.

The Fano variety of lines and rationality problem for a cubic hypersurfaceMay 20 2014Jun 25 2014We find a relation between a cubic hypersurface $Y$ and its Fano variety of lines $F(Y)$ in the Grothendieck ring of varieties. We prove that if the class of an affine line is not a zero-divisor in the Grothendieck ring of varieties, then Fano variety ... More

Third order operator with small periodic coefficientsMay 18 2011We consider the third order operator with small 1-periodic coefficients on the real line. The spectrum of the operator is absolutely continuous and covers all real line. Under the minimal conditions on the coefficients we show that there are two possibilities: ... More

Anisotropic Poisson Processes of CylindersJun 24 2010Jun 28 2010Main characteristics of stationary anisotropic Poisson processes of cylinders (dilated k-dimensional flats) in d-dimensional Euclidean space are studied. Explicit formulae for the capacity functional, the covariance function, the contact distribution ... More

Long range dependence of heavy tailed random functionsJun 02 2017Dec 14 2018We introduce a definition of long range dependence of random processes and fields on an index space $T\subseteq \R^d$ in terms of integrability of the covariance of indicators that a random function exceeds any given level. This definition is particularly ... More

The motivic nearby fiber and degeneration of stable rationalityAug 09 2017Mar 13 2019We prove that stable rationality specializes in regular families whose fibers are integral and have at most ordinary double points as singularities. Our proof is based on motivic specialization techniques and the criterion of Larsen and Lunts for stable ... More

Projective limits of Poletsky--Stessin Hardy spacesMar 02 2015In this paper we show that that on a strongly pseudoconvex domain $D$ the projective limit of all Poletsky--Stessin Hardy spaces $H^p_u(D)$, introduced in \cite{PS}, is isomorphic to the space $H^\infty(D)$ of bounded holomorphic functions on $D$ endowed ... More

Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problemMay 17 2011Sep 29 2011We consider a periodic Jacobi operator $H$ with finitely supported perturbations on ${\Bbb Z}.$ We solve the inverse resonance problem: we prove that the mapping from finitely supported perturbations to the scattering data: the inverse of the transmission ... More

Ribbon graphs and bialgebra of Lagrangian subspacesJan 23 2014Jan 23 2016To each ribbon graph we assign a so-called L-space, which is a Lagrangian subspace in an even-dimensional vector space with the standard symplectic form. This invariant generalizes the notion of the intersection matrix of a chord diagram. Moreover, the ... More

A simplex-type algorithm for continuous linear programs with constant coefficientsMay 14 2017May 01 2019We consider continuous linear programs over a continuous finite time horizon $T$, with a constant coefficient matrix, linear right hand side functions and linear cost coefficient functions, where we search for optimal solutions in the space of measures ... More

CP violation in $K^{\pm}\toπ^0π^0π^{\pm}$ decayMar 23 2005CP violation leads to a difference between the parameters $g^+$ and $g^-$ describing the energy distributions of the charged pions produced in the $K^+ \to\pi^0 \pi^0 \pi^+$ and $K^- \to \pi^0\pi^0 \pi^-$ decays. We study the difference $(g^+ - g^-)$ ... More

On almost periodic viscosity solutions to Hamilton-Jacobi equationsJul 01 2017We establish that a viscosity solution to a multidimensional Hamilton-Jacobi equation with Bohr almost periodic initial data remains to be spatially almost periodic and the additive subgroup generated by its spectrum does not increase in time. In the ... More

Oracle inequalities for the stochastic differential equationsDec 15 2017This paper is a survey of recent results on the adaptive robust non parametric methods for the continuous time regression model with the semi - martingale noises with jumps. The noises are modeled by the L\'evy processes, the Ornstein -- Uhlenbeck processes ... More

The Miniowitz and Vuorinen theorems for the mappings with non-bounded characteristicsNov 26 2012Sep 02 2013The present paper is devoted to the study of classes of mappings with non--bounded characteristics of quasiconformality. It is proved that the normal families of mappings distorting the families of mappings in ${\Bbb R}^n$ by special way, have the logarithmic ... More

Effective masses for Laplacians on periodic graphsFeb 10 2015May 03 2015We consider Laplacians on periodic both discrete and metric equilateral graphs. Their spectrum consists of an absolutely continuous part (which is a union of non-degenerate spectral bands) and flat bands, i.e., eigenvalues of infinite multiplicity. We ... More

Regularity and Segre-Veronese embeddingsMay 29 2008This paper studies the regularity of certain coherent sheaves that arise naturally from Segre-Veronese embeddings of a product of projective spaces. We give an explicit formula for the regularity of these sheaves and show that their regularity is subadditive. ... More

Exciton and trion dynamics in atomically thin MoSe2 and WSe2: effect of localizationAug 13 2016We present a detailed investigation of the exciton and trion dynamics in naturally doped MoSe2 and WSe2 single atomic layers as a function of temperature in the range 10-300K under above band-gap laser excitation. By combining time-integrated and time-resolved ... More

LG (Landau-Ginzburg) in GL (Gregory-Laflamme)Apr 04 2006Jun 22 2006This paper continues the study of the Gregory-Laflamme instability of black strings, or more precisely of the order of the transition, being either first or second order, and the critical dimension which separates the two cases. First, we describe a novel ... More

Effects of Pair Creation on Charged Gravitational CollapseSep 28 2000Dec 05 2000We investigate the effects of pair creation on the internal geometry of a black hole, which forms during the gravitational collapse of a charged massless scalar field. Classically, strong central Schwarzschild-like singularity forms, and a null, weak, ... More

On Choptuik's scaling in higher dimensionsFeb 03 2005Jun 06 2005We extend Choptuik's scaling phenomenon found in general relativistic critical gravitational collapse of a massless scalar field to higher dimensions. We find that in the range 4 <= D <= 11 the behavior is qualitatively similar to that discovered by Choptuik. ... More

On Black-Brane Instability In an Arbitrary DimensionJul 15 2004Nov 04 2004The black-hole black-string system is known to exhibit critical dimensions and therefore it is interesting to vary the spacetime dimension $D$, treating it as a parameter of the system. We derive the large $D$ asymptotics of the critical, i.e. marginally ... More

Can bio-inspired information processing steps be realized as synthetic biochemical processes?Nov 07 2014We consider possible designs and experimental realiza-tions in synthesized rather than naturally occurring bio-chemical systems of a selection of basic bio-inspired information processing steps. These include feed-forward loops, which have been identified ... More

Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtrationJul 23 2014The Cherednik-Orr conjecture expresses the $t\to\infty$ limit of the nonsymmetric Macdonald polynomials in terms of the PBW twisted characters of the affine level one Demazure modules. We prove this conjecture in several special cases.