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Multimodal Machine Learning-based Knee Osteoarthritis Progression Prediction from Plain Radiographs and Clinical DataApr 12 2019Knee osteoarthritis (OA) is the most common musculoskeletal disease without a cure, and current treatment options are limited to symptomatic relief. Prediction of OA progression is a very challenging and timely issue, and it could, if resolved, accelerate ... More

Discovering heavy U(1)-gauged Higgs bosons at the HL-LHCMar 06 2019We determine the discovery potential of the Large Hadron Collider (LHC) at 13 TeV center-of-mass energy for a heavy scalar resonance in the dilepton channel. In particular, we consider the singlet-like heavy mass eigenstate of a mixed two Higgs doublet ... More

Characterizations of Hardy-Orlicz spaces of quasiconformal mappingsOct 15 2014An H^p-theory of quasiconformal mappings on B^n has already been established. By replacing t^p with a general increasing growth function {\psi}(t) we define the Hardy-Orlicz spaces of quasiconformal mappings and prove various characterizations of these ... More

Hardy-Orlicz spaces of conformal densitiesOct 15 2014Feb 09 2015We define and prove characterizations of Hardy-Orlicz spaces of conformal densities.

IISCNLP at SemEval-2016 Task 2: Interpretable STS with ILP based Multiple Chunk AlignerMay 04 2016Interpretable semantic textual similarity (iSTS) task adds a crucial explanatory layer to pairwise sentence similarity. We address various components of this task: chunk level semantic alignment along with assignment of similarity type and score for aligned ... More

Plasma-grains interaction mediated by streaming non-Maxwellian ionsFeb 11 2019A comprehensive parametric study of plasma-grain interaction for non-Maxwellian streaming ions in steady-state employing particle-in-cell simulation is delineated. Instead of considering the inter-grain interaction potential to be the linear sum of isolated ... More

Intrinsic Hardy-Orlicz spaces of conformal mappingsSep 23 2014We define a new type of Hardy-Orlicz spaces of conformal mappings on the unit disk where in place of the value |f(x)| we consider the intrinsic path distance between f(x) and f(0) in the image domain. We show that if the Orlicz function is doubling then ... More

Recommendations for the Technical Infrastructure for Standardized International Rights StatementsDec 01 2015Feb 29 2016This white paper is the product of a joint Digital Public Library of America (DPLA)-Europeana working group organized to develop minimum rights statement metadata standards for organizations that contribute to DPLA and Europeana. This white paper deals ... More

Mining Block I/O Traces for Cache Preloading with Sparse Temporal Non-parametric Mixture of Multivariate PoissonOct 13 2014Existing caching strategies, in the storage domain, though well suited to exploit short range spatio-temporal patterns, are unable to leverage long-range motifs for improving hitrates. Motivated by this, we investigate novel Bayesian non-parametric modeling(BNP) ... More

Reverse Engineering Point Clouds to Fit Tensor Product B-Spline Surfaces by Blending Local FitsNov 21 2014Being able to reverse engineer from point cloud data to obtain 3D models is important in modeling. As our main contribution, we present a new method to obtain a tensor product B-spline representation from point cloud data by fitting surfaces to appropriately ... More

Rightsstatements.org White Paper: Requirements for the Technical Infrastructure for Standardized International Rights StatementsDec 01 2015Jul 27 2016This document is part of the deliverables created by the International Rights Statement Working Group, a joint working group of the Digital Public Library of America (DPLA) and Europeana. It provides the technical requirements for implementation of the ... More

Weighted Hardy Spaces of Quasiconformal MappingsApr 01 2019We establish a weighted version of the $H^p$-theory of quasiconformal mappings.

Viscoelastic modes in a strongly coupled cold magnetized dusty plasmaOct 29 2013A generalized hydrodynamical model has been used to study low frequency modes in a strongly coupled, cold, magnetized dusty plasma. Such plasmas exhibit elastic properties due to strong correlations among dust particles and the tensile stresses imparted ... More

Nested Hierarchical Dirichlet Processes for Multi-Level Non-Parametric Admixture ModelingAug 26 2015Aug 27 2015Dirichlet Process(DP) is a Bayesian non-parametric prior for infinite mixture modeling, where the number of mixture components grows with the number of data items. The Hierarchical Dirichlet Process (HDP), is an extension of DP for grouped data, often ... More

Near-perfect conduction through a ferrocene-based molecular wireSep 16 2004Feb 15 2005Here we describe the design, single-molecule transport measurements, and theoretical modeling of a ferrocene-based organometallic molecular wire, whose bias-dependent conductance shows a clear Lorentzian form with magnitude exceeding 70% of the conductance ... More

Fine-tuning in models with extended Higgs sectorsFeb 04 2019In the literature measures of fine-tuning have been discussed as one of the tools to assess the feasibility of beyond the Standard Model theories. In this paper we focus on two specific measures and investigate what kind of fine-tuning they actually quantify. ... More

Music and Vocal Separation Using Multi-Band Modulation Based FeaturesJun 10 2014The potential use of non-linear speech features has not been investigated for music analysis although other commonly used speech features like Mel Frequency Ceptral Coefficients (MFCC) and pitch have been used extensively. In this paper, we assume an ... More

Andlantis: Large-scale Android Dynamic AnalysisOct 28 2014Analyzing Android applications for malicious behavior is an important area of research, and is made difficult, in part, by the increasingly large number of applications available for the platform. While techniques exist to perform static analysis on a ... More

Collision induced amplification of wakes in streaming plasmasFeb 23 2017This work examines the formation of wake fields caused by ions streaming around a charged dust particle, using three-dimensional particle-in-cell (PIC) simulations with charge-neutral collisions included. The influence of an external driving electric ... More

Complex Centers of Polynomial Differential EquationsMar 10 2007We present some results on the existence and nonexistence of centers for polynomial first order ordinary differential equations with complex coefficients. In particular, we show that binomial differential equations without linear terms do not complex ... More

Periodic Solutions of Abel Differential EquationsMay 05 2006Jun 09 2006For a class of polynomial non-autonomous differential equations of degree n, we use phase plane analysis to show that each equation in this class has n periodic solutions. The result implies that certain rigid two-dimensional systems have at most one ... More

Polynomial Differential Equations with Small coefficientsApr 17 2009Classes of polynomial differential equations of degree n are considered. An explicit upper bound on the size of the coefficients are given which implies that each equation in the class has exactly n complex periodic solutions. In most of the classes the ... More

The $θ$ vacuum reveals itself as the fundamental theory of the quantum Hall effect. I. Confronting controversiesJun 01 2002The $\theta$ dependence of the Grassmannian $U(m+n)/U(m)\times U(n)$ non-linear $\sigma$ model is reexamined. This general theory provides an important laboratory for studying the quantum Hall effect, in the special limit $m=n=0$ (replica limit). We discover ... More

Assessing inflow rates in atomic cooling halos: implications for direct collapse black holesApr 01 2015Jun 30 2015Supermassive black holes are not only common in the present-day galaxies, but billion solar masses black holes also powered $z\geq 6$ quasars. One efficient way to form such black holes is the collapse of a massive primordial gas cloud into a so-called ... More

Design of parametrically forced patterns and quasipatternsMay 07 2008The Faraday wave experiment is a classic example of a system driven by parametric forcing, and it produces a wide range of complex patterns, including superlattice patterns and quasipatterns. Nonlinear three-wave interactions between driven and weakly ... More

Shear viscosity of the $Φ^4$ theory from classical simulationMay 05 2015Shear viscosity of the classical $\Phi^4$ theory is measured using classical microcanonical simulation. To calculate the Kubo formula, we measure the energy-momentum tensor correlation function, and apply the Green-Kubo relation. Being a classical theory, ... More

Influence of Thermal Fluctuations of Spin Density Wave Order Parameter on the Quasiparticle Spectral FunctionJan 04 2010The two-dimensional model of itinerant electrons coupled to an anti-ferromagnetic order parameter is considered. In the mean field solution the Fermi surface undergoes reconstruction, and breaks into disconnected ``pockets''. We have studied the effect ... More

Relativistic Outflows in Gamma-Ray BurstsJan 08 2007The possibility that gamma-ray bursts (GRBs) were not isotropic emissions was devised theoretically as a way to ameliorate the huge energetic budget implied by the standard fireball model for these powerful phenomena. However, the mechanism by which after ... More

Spin stiffness and quantum fluctuations in C-type and A-type antiferromagnetsNov 05 2002We present a systematic study of quantum fluctuations in the C-type and A-type antiferromagnetic (AF) phases in cubic lattices and in bilayer systems. Using the linear spin-wave theory, we show that the spin stiffness and the quantum corrections to the ... More

On the Topology of the Symmetry Group of the Standard ModelDec 01 1998We study the topological structure of the symmetry group of the standard model, $G_{SM}=U(1)\times SU(2)\times SU(3)$. Locally, $G_{SM}\cong S^1\times (S^3)^2\times S^5$. For SU(3), which is an $S^3$ bundle over $S^5$ (and therefore a local product of ... More

The Universal Covering Group of U(n) and Projective RepresentationsNov 23 1999Using fibre bundle theory we construct the universal covering group of U(n), $\tilde{U}(n)$, and show that $\tilde{U}(n)$ is isomorphic to the semidirect product $SU(n)\bigcirc {\scriptstyle s}$ R. We give a bijection between the set of projective representations ... More

Weighted Configuration ModelJan 31 2005The configuration model is one of the most successful models for generating uncorrelated random networks. We analyze its behavior when the expected degree sequence follows a power law with exponent smaller than two. In this situation, the resulting network ... More

Alexander Polynomial Invariants of Torus Knots T(n,3) and Chebyshev PolynomialsJul 27 2011The explicit formula, which expresses the Alexander polynomials \Delta_{n,3}(t) of torus knots T(n,3) as a sum of the Alexander polynomials \Delta_{k,2}(t) of torus knots T(k,2), is found. Using this result and those from our previous papers, we express ... More

A Kaehler Structure of the Triplectic GeometryJul 02 1998Sep 23 1998We study the geometry of the triplectic quantization of gauge theories. We show that underlying the triplectic geometry is a Kaehler manifold N endowed with a pair of transversal polarizations. The antibrackets can be brought to the canonical form if ... More

Simulated spectral states of AGN and observational predictionsFeb 03 2011Active galactic nuclei (AGN) and galactic black hole binaries (GBHs) represent two classes of accreting black holes. They both contain an accretion disc emitting a thermal radiation, and a non-thermal X-ray emitting corona. GBHs exhibit state transitions, ... More

High pressure Ca-VI phase between 158-180 GPa: Stability, electronic structure and superconductivitySep 03 2010Sep 14 2010We have performed ab initio calculations for new high-pressure phase of Ca-VI between 158-180 GPa. The study includes elastic parameters of mono- and poly-crystalline aggregates, electronic band structure, lattice dynamics and superconductivity. The calculations ... More

Unitary decoupling treatment of a quadratic bimodal CQED modelDec 11 2012Dec 18 2012We consider a two-photon quantum model of radiation-matter interaction between a single two-level atom and a degenerate bimodal high-Q cavity field. Within this tripartite system the explicit construction of two collective radiation modes, one of which ... More

U(1)-invariant membranes: the geometric formulation, Abel and pendulum differential equationsMay 13 2009Aug 22 2010The geometric approach to study the dynamics of U(1)-invariant membranes is developed. The approach reveals an important role of the Abel nonlinear differential equation of the first type with variable coefficients depending on time and one of the membrane ... More

Iterating free-field AdS/CFT: higher spin partition function relationsFeb 02 2016May 06 2016We find a simple relation between a free higher spin field partition function on thermal quotient of AdS(d+1) and the partition function of the associated d-dimensional conformal higher spin field on thermal quotient of AdS(d). Starting with a conformal ... More

Conformal a-anomaly of some non-unitary 6d superconformal theoriesJun 29 2015Aug 16 2015We compute the conformal anomaly a-coefficient for some non-unitary (higher derivative or non-gauge-invariant) 6d conformal fields and their supermultiplets. We use the method based on a connection between 6d determinants on S^6 and 7d determinants on ... More

Spiky strings, light-like Wilson loops and pp-wave anomalyFeb 14 2008Jan 14 2010We consider rigid rotating closed strings with spikes in AdS5 dual to certain higher twist operators in N=4 SYM theory. In the limit of large spin when the spikes reach the boundary of AdS5, the solutions with different numbers of spikes are related by ... More

On reduced models for superstrings on AdS_n x S^nJun 16 2008Jul 16 2008We review the Pohlmeyer reduction procedure of the superstring sigma model on AdS_n x S^n leading to a gauged WZW model with an integrable potential coupled to 2d fermions. In particular, we consider the case of the Green-Schwarz superstring on AdS_3 ... More

Cryptanalysis of an Elliptic Curve-based Signcryption SchemeApr 20 2010Mar 19 2012The signcryption is a relatively new cryptographic technique that is supposed to fulfill the functionalities of encryption and digital signature in a single logical step. Although several signcryption schemes are proposed over the years, some of them ... More

Model comparison of the dark matter profiles of Fornax, Sculptor, Carina and SextansApr 10 2013We use orbit based dynamical models to fit the 2nd and 4th moments of the line of sight velocity distributions of the Fornax, Sculptor, Carina and Sextans dwarf spheroidal galaxies. Our goal is to compare dark matter profile models of these four systems ... More

Heavy-Light Meson Decay Constant from QCD Sum Rules in Three-Loop ApproximationAug 13 2001Nov 09 2001In this paper we compute the decay constant of the pseudo-scalar heavy-light mesons in the heavy quark effective theory framework of QCD sum rules. In our analysis we include the recently evaluated three-loop result of order $\alpha_s^2$ for the heavy-light ... More

Module weak Banach-Saks and module Schur properties of Hilbert C*-modulesFeb 24 2009Oct 25 2009Continuing the research on the Banach-Saks and Schur properties started in (cf. M. Frank, A. A. Pavlov, Banach-Saks properties of C*-algebras and Hilbert C*-modules (submitted)) we investigate analogous properties in the module context. As an environment ... More

Scanning tunneling microscopy of adsorbed molecules on metalic surfaces for nearly localized atomic statesMar 09 2011Jun 23 2011We consider a Hubbard-Anderson model which describes localized orbitals in five different sites hybridized both among themselves and with a continuum of extended states. A square planar geometry with an atom at the center is used to represent TBrPP-Co ... More

Coherent and Squeezed States in Shape Invariant Potentials Obtained from the Master FunctionMar 13 2000A general algorithm has been given for the generation of Coherent and Squeezed states, in one-dimensional hamiltonians with shape invariant potential, obtained from the master function. The minimum uncertainty states of these potentials are expressed ... More

Problems and cures (partial) for holographic cosmologyOct 03 2003We analyze the validity of the generalized covariant entropy bound near the apparent horizon of isotropic expanding cosmological models. We encounter violations of the bound for cosmic times smaller than a threshold. By introducing an infrared cutoff ... More

Approximation complexity of homogeneous sums of random processesMay 31 2018We study approximation properties of additive random fields $Y_d$, $d\in\mathbb{N}$, which are sums of zero-mean random processes with the same continuous covariance functions. The average case approximation complexity $n^{Y_d}(\varepsilon)$ is defined ... More

IFU spectroscopy of Southern Planetary Nebulae V: Low-ionization structuresJul 30 2017In this 5th paper of the series, we examine the spectroscopy and morphology of four southern Galactic planetary nebulae Hen 2-141, NGC5307, IC 2553, and PB6 using new integral field spectroscopy data. The morphologies and ionization structures of the ... More

IFU spectroscopy of Southern PNe: VII Photo-ionization modelling of intermediate excitation class objectsFeb 02 2019We present integral field unit spectroscopic observations of southern Galactic planetary nebulae (PNe), IC 2501, Hen 2-7, and PB4. The goal of studying these objects together is that, although they have roughly similar intermediate excitation and evolution ... More

Static Axisymmetric Einstein Equations in Vacuum: Symmetry, New Solutions and Ricci SolitonsAug 21 2015An explicit one-parameter Lie point symmetry of the four-dimensional vacuum Einstein equations with two commuting hypersurface-orthogonal Killing vector fields is presented. The parameter takes values over all of the real line and the action of the group ... More

Phase space flow in the Husimi representationJun 06 2013We derive a continuity equation for the Husimi function evolving under a general non-hermitian Hamiltonian and identify the phase space flow associated with it. For the case of unitary evolution we obtain explicit formulas for the quantum flow, which ... More

Finite quantum tomography via semidefinite programmingJul 26 2007Using the the convex semidefinite programming method and superoperator formalism we obtain the finite quantum tomography of some mixed quantum states such as: qudit tomography, N-qubit tomography, phase tomography and coherent spin state tomography, where ... More

What happens in the vicinity of the Schwarzschild sphere when nonzero graviton rest mass is presentJul 06 1999Jul 08 1999In this paper a solution for a static spherically symmetric body is thoroughly considered in the framework of the Relativistic Theory of Gravitation. By the comparison of this solution with the Schwarzschild solution in General Relativity their substantial ... More

A compact pulsar wind nebula model of the gamma-ray loud binary LS I +61 303Feb 08 2008Dec 30 2009We study a model of of LS I +61 303 in which its radio to TeV emission is due to interaction of a relativistic wind from a young pulsar with the wind from its companion Be star. We assume the fast polar wind is clumpy, which is typical for radiatively-driven ... More

Magnetic and orbital ordering of RuO2 planes in RuSr2(Eu,Gd)Cu2O8Apr 21 2004We start from an effective Hamiltonian for Ru ions in a square lattice, which includes the on-site interactions between t_2g orbitals derived from Coulomb repulsion, and a tetragonal crystal-field splitting. Using perturbation theory in the hopping terms, ... More

Elementary symmetric functions of two solvents of a quadratic matrix equationApr 18 2008Quadratic matrix equations occur in a variety of applications. In this paper we introduce new permutationally invariant functions of two solvents of the n quadratic matrix equation X^2- L1X - L0 = 0, playing the role of the two elementary symmetric functions ... More

On the Kerr Quantum Area SpectrumApr 28 2008May 01 2008Suppose that there is a quantum operator that describes the horizon area of a black hole. Then what would be the form of the ensuing quantum spectrum? In this regard, it has been conjectured that the characteristic frequencies of the black hole oscillations ... More

A Comment or two on Holographic Dark EnergyFeb 13 2008Feb 20 2008It has, quite recently, become fashionable to study a certain class of holographic-inspired models for the dark energy. These investigations have, indeed, managed to make some significant advances towards explaining the empirical data. Nonetheless, surprisingly ... More

A comment on black hole entropy or does Nature abhor a logarithm?Jun 10 2004Nov 02 2004There has been substantial interest, as of late, in the quantum-corrected form of the Bekenstein-Hawking black hole entropy. The consensus viewpoint is that the leading-order correction should be a logarithm of the horizon area; however, the value of ... More

A Note on Holography on a Curved BraneDec 03 2001Dec 16 2001Some recent literature has examined the holographic-induced cosmology of a brane universe in the background of an anti-de Sitter-black hole geometry. In this regard, curved-brane scenarios have begun to receive considerable attention. Our current interest ... More

A brief commentary on black hole entropyOct 18 2004Oct 21 2004It is commonplace, in the literature, to find that the Bekenstein-Hawking entropy has been endowed with having an explicit statistical interpretation. In the following essay, we discuss why such a viewpoint warrants a certain degree of caution.

Highly Accurate Measurement of the Electron Orbital Magnetic MomentMay 25 2015We propose to accurately determine the orbital magnetic moment of the electron by measuring, in a Magneto-Optical or Ion trap, the ratio of the Lande g-factors in two atomic states. From the measurement of (gJ1/gJ2), the quantity A, which depends on the ... More

Electric force lines of the double Reissner-Nordstrom exact solutionApr 03 2008Apr 04 2008Recently, Alekseev and Belinski have presented a new exact solution of the Einstein-Maxwell equations which describes two Reissner-Nordstrom (RN) sources in reciprocal equilibrium (no struts nor strings); one source is a naked singularity, the other is ... More

Precision Measurement of the Electron/Muon Gyromagnetic FactorsFeb 14 2010Clear, persuasive arguments are brought forward to motivate the need for highly precise measurements of the electron/muon orbital g, i.e. gL. First, we briefly review results obtained using an extended Dirac equation, which conclusively showed that, as ... More

Improved Determination of alpha_QED(M_Z^2) and the Anomalous Magnetic Moment of the MuonNov 12 1997We reevaluate the hadronic contribution to the running of the QED fine structure constant alpha(s) at s = M_Z^2. We use data from e+e- annihilation and tau decays at low energy and at the qq-bar thresholds, where resonances occur. Using so-called spectral ... More

Multicurrency advisor based on the NSW model. Detailed description and perspectivesNov 24 2011Flexible algorithm of multicurrency trade on Forex market has been built on the grounds of non-linear stochastic wavelets (NSW) model. Probability of the loss-free trade has been evaluated. Results of the algorithm's real-time testing and issues of the ... More

On Effective Potential in Tortoise CoordinateMay 24 2011In this paper, we study the field dynamics in Tortoise coordinate where the equation of motion of a scalar can be written as Schrodinger-like form. We obtain a general form for effective potential by finding the Schrodinger equation for scalar and spinor ... More

Exactly solvable $N$-body quantum systems with $N=3^k \ ( k \geq 2)$ in the $D=1$ dimensional spaceAug 30 2016We study the exact solutions of a particular class of $N$ confined particles of equal mass, with $N=3^k \ (k=2,3,...),$ in the $D=1$ dimensional space. The particles are clustered in clusters of 3 particles. The interactions involve a confining mean field, ... More

Extending the four-body problem of Wolfes to non-translationally invariant interactionsJul 12 2012Mar 14 2013We propose and solve exactly the Schr\"odinger equation of a bound quantum system consisting in four particles moving on a real line with both translationally invariant four particles interactions of Wolfes type \cite{Wolf74} and additional non translationally ... More

Probe of anomalous quartic $WWZγ$ couplings in the photon-photon collisionsDec 12 2014Mar 25 2015In this paper, we examine the potentials of the processes $\gamma \gamma\rightarrow W^{+} W^{-}Z $ and $e^{+}e^{-} \rightarrow e^{+}\gamma^{*} \gamma^{*} e^{-} \rightarrow e^{+} W^{+} W^{-} Z e^{-}$ at the CLIC with $\sqrt{s}=0.5,1.5$ and $3$ TeV to investigate ... More

Analysis of anomalous quartic $WWZγ$ couplings in $γp$ collision at the LHCOct 14 2014Jan 26 2015Gauge boson self-couplings are exactly determined by the non-Abelian gauge nature of the Standard Model (SM), thus precision measurements of these couplings at the LHC provide an important opportunity to test the gauge structure of the SM and the spontaneous ... More

Demazure Characters and Affine Fusion RulesDec 14 1996The Demazure character formula is applied to the Verlinde formula for affine fusion rules. We follow Littelmann's derivation of a generalized Littlewood-Richardson rule from Demazure characters. A combinatorial rule for affine fusions does not result, ... More

Motion of four-dimensional rigid body around a fixed point: an elementary approach. IFeb 26 2005The goal of this note is to give the explicit solution of Euler-Frahm equations for the Manakov four-dimensional case by elementary means. For this, we use some results from the original papers by Schottky [Sch 1891], Koetter [Koe 1892], Weber [We 1878], ... More

Coherent states for arbitrary Lie groupMar 01 2002The concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie group. For the simplest Lie groups the system of coherent states is constructed and its features are investigated.

Shear viscosity over entropy density ratio with extended quasi-particlesDec 09 2015Mar 29 2016We consider an effective field theory description of beyond-quasi-particle excitations aiming to associate the transport properties of the system with the spectral density of states. Tuning various properties of the many-particle correlations, we investigate ... More

A Comparison between Two Simple Models of a Slug Flow in a Long Flexible Marine RiserNov 10 2009Slug flows are extremely interesting multiphase regime phenomena which frequently occur in flexible marine risers used by the petroleum industry in offshore environments and have both a liquid and gaseous phase. This paper describes two simple models ... More

Statistical geometry in scalar turbulenceJun 06 2000A general link between geometry and intermittency in passive scalar turbulence is established. Intermittency is qualitatively traced back to events where tracer particles stay for anomalousy long times in degenerate geometries characterized by strong ... More

Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curveSep 29 2003Dec 02 2003We transfer the algebro-geometric method of construction of solutions of the discrete KP equation to the finite field case. We emphasize role of the Jacobian of the underlying algebraic curve in construction of the solutions. We illustrate in detail the ... More

NMR dynamics of quantum discord for spin-carrying gas molecules in a closed nanoporeMar 11 2015A local orthogonal transformation that transforms any centrosymmetric (CS) matrix of fourth order to the X form is found. A picewise-analytic-numerical formula Q=min{Q_\pi/2,Q_\theta,Q_0}, where Q_\pi/2 and Q_0 are analytical expressions and the branch ... More

Universality in the profile of the semiclassical limit solutions to the focusing Nonlinear Schroedinger equation at the first breaking curveSep 17 2009We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schroedinger equation (NLS) with decaying potentials. If a potential is a simple rapidly oscillating wave (the period has the order of the semiclassical parameter ... More

Bethe ansatz solution of zero-range process with nonuniform stationary stateJan 15 2004Nov 22 2004The eigenfunctions and eigenvalues of the master-equation for zero range process with totally asymmetric dynamics on a ring are found exactly using the Bethe ansatz weighted with the stationary weights of particle configurations. The Bethe ansatz applicability ... More

Ferron Type of Coductivity in Metal CuFeSe2Jan 25 2011Jul 12 2011It is pointed out, that the charge transfer in the compound in paramagnetic region has a ferron type of transport with ferrons of a small radius, predicted by N. Mott. For some another specimen the charge transfer may be carried out by ferrons of a large ... More

The dipole-quadrupole theory of surface-enhanced Raman scatteringJul 18 2008Sep 30 2013The review is devoted to explanation of SERS in terms of the dipole and quadrupole light-molecule interactions arising in surface fields strongly varying in space in the region of the strongly irregular surface roughness. The main SERS characteristics, ... More

Noncommutative scalar fields from symplectic deformationJun 15 2008This paper is concerned with the quantum theory of noncommutative scalar fields in two dimensional space time. It is shown that the noncommutativity originates from the the deformation of symplectic structures. The quantization is performed and the modes ... More

Lie Algebroids as Gauge Symmetries in Topological Field TheoriesJan 21 2002The Lie algebroids are generalization of the Lie algebras. They arise, in particular, as a mathematical tool in investigations of dynamical systems with the first class constraints. Here we consider canonical symmetries of Hamiltonian systems generated ... More

Modeling the Multiwavelength Spectra and Variability of BL Lacertae in 2000Mar 26 2004BL Lacertae was the target of an extensive multiwavelength monitoring campaign in the second half of 2000. In this paper, we are using leptonic and hadronic jet models to fit the observed broadband spectra and spectral variability patterns. We start out ... More

Qualitative considerations in Intense Field QEDJul 27 2015I demonstrate how at least some of the known results on probability rates of the basic processes in strong external field could be understood in a simple-man fashion accessible to a high-school student, by using merely only kinematical considerations ... More

Transport in a classical model of an one-dimensional Mott insulator: Influence of conservation lawsFeb 06 2001Apr 26 2001We study numerically how conservation laws affect the optical conductivity sigma(w) of a slightly doped one-dimensional Mott insulator. We investigate a regime where the average distance between charge excitations is large compared to their thermal de ... More

Escaping free-energy minimaAug 19 2002We introduce a novel and powerful method for exploring the properties of the multidimensional free energy surfaces of complex many-body systems by means of a coarse-grained non-Markovian dynamics in the space defined by a few collective coordinates.A ... More

Theory of deuteron stripping. From surface integrals to generalized $R$-matrix approachAug 23 2011Sep 26 2011There are two main reasons for absence of the practical theory of stripping to resonance states which could be used by experimental groups: numerical problem of the convergence of the DWBA matrix element when the full transition operator is included and ... More

Coulomb renormalization and ratio of proton and neutron asymptotic normalization coefficients for mirror nucleiSep 10 2012Sep 29 2012Asymptotic normalization coefficients (ANCs) are fundamental nuclear constants playing important role in nuclear reactions, nuclear structure and nuclear astrophysics. In this paper the physical reasons of the Coulomb renormalization of the ANC are addressed. ... More

On the Structure of the Small Quantum Cohomology Rings of Projective HypersurfacesNov 08 1996Apr 08 1999We give an explicit procedure which computes for degree $d \leq 3$ the correlation functions of topological sigma model (A-model) on a projective Fano hypersurface $X$ as homogeneous polynomials of degree $d$ in the correlation functions of degree 1 (number ... More

Conformal symmetry in non-local field theoriesMar 18 2011Jun 25 2011We have shown that a particular class of non-local free field theory has conformal symmetry in arbitrary dimensions. Using the local field theory counterpart of this class, we have found the Noether currents and Ward identities of the translation, rotation ... More

Area Distribution of Elastic Brownian MotionJun 17 2009Nov 14 2009We calculate the excursion and meander area distributions of the elastic Brownian motion by using the self adjoint extension of the Hamiltonian of the free quantum particle on the half line. We also give some comments on the area of the Brownian motion ... More

Bessel Process and Conformal Quantum MechanicsJun 09 2009Different aspects of the connection between the Bessel process and the conformal quantum mechanics (CQM) are discussed. The meaning of the possible generalizations of both models is investigated with respect to the other model, including self adjoint ... More

Loop models for CFTsJun 27 2008Feb 26 2009By interpreting the fusion matrix as an adjacency matrix we associate a loop model to every primary operator of a generic conformal field theory. The weight of these loop models is given by the quantum dimension of the corresponding primary operator. ... More

Boundary conformal field theories and loop modelsAug 01 2008Apr 20 2009We propose a systematic method to extract conformal loop models for rational conformal field theories (CFT). Method is based on defining an ADE model for boundary primary operators by using the fusion matrices of these operators as adjacency matrices. ... More