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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12 за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12 за назвою

Сортувати за: Порядок: Результатів:

  • Multiple Actions of the Monodromy Matrix in gl(2|1)-Invariant Integrable Models 
    Hutsalyuk, A.; Liashyk, A.; Pakuliak, S.Z.; Ragoucy, E.; Slavnov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study gl(2|1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show ...
  • Multivariate Orthogonal Polynomials and Modified Moment Functionals 
    Delgado, A.M.; Fernández, L.; Pérez, T.E.; Piñar, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study the so-called Uvarov and Christoffel ...
  • Nijenhuis Integrability for Killing Tensors 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The fundamental tool in the classification of orthogonal coordinate systems in which the Hamilton-Jacobi and other prominent equations can be solved by a separation of variables are second order Killing tensors which satisfy ...
  • Non-Associative Geometry of Quantum Tori 
    D'Andrea, F.; Franco, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We describe how to obtain the imprimitivity bimodules of the noncommutative torus from a ''principal bundle'' construction, where the total space is a quasi-associative deformation of a 3-dimensional Heisenberg manifold.
  • Noncommutative Differential Geometry of Generalized Weyl Algebras 
    Brzeziński, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Elements of noncommutative differential geometry of Z-graded generalized Weyl algebras A(p;q) over the ring of polynomials in two variables and their zero-degree subalgebras B(p;q), which themselves are generalized Weyl ...
  • Nonstandard Deformed Oscillators from q- and p,q-Deformations of Heisenberg Algebra 
    Gavrilik, A.M.; Kachurik, I.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For the two-parameter p,q-deformed Heisenberg algebra introduced recently and in which, instead of usual commutator of X and P in the l.h.s. of basic relation [X,P]=iℏ, one uses the p,q-commutator, we established interesting ...
  • Notes on Schubert, Grothendieck and Key Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and ...
  • On Asymptotic Regimes of Orthogonal Polynomials with Complex Varying Quartic Exponential Weight 
    Bertola, M.; Tovbis, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the asymptotics of recurrence coefficients for monic orthogonal polynomials πn(z) with the quartic exponential weight exp[−N(1/2z²+1/4tz⁴)], where t∈C and N∈N, N→∞. Our goal is to describe these asymptotic behaviors ...
  • One-Step Recurrences for Stationary Random Fields on the Sphere 
    Beatson, R.K.; W. zu Castell (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This paper develops operators for zonal functions on the sphere which preserve (strict) positive definiteness while moving up and down in the ladder of dimensions by steps of one. These fractional operators are constructed ...
  • On Free Field Realizations of W(2,2)-Modules 
    Adamović, D.; Radobolja, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The aim of the paper is to study modules for the twisted Heisenberg-Virasoro algebra H at level zero as modules for the W(2,2)-algebra by using construction from [J. Pure Appl. Algebra 219 (2015), 4322-4342, arXiv:1405.1707]. ...
  • On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings 
    Nowak, A.; Stempak, K.; Szarek, T.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study several fundamental harmonic analysis operators in the multi-dimensional context of the Dunkl harmonic oscillator and the underlying group of reflections isomorphic to Zd2. Noteworthy, we admit negative values of ...
  • On Jacobi Inversion Formulae for Telescopic Curves 
    Ayano, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For a hyperelliptic curve of genus g, it is well known that the symmetric products of g points on the curve are expressed in terms of their Abel-Jacobi image by the hyperelliptic sigma function (Jacobi inversion formulae). ...
  • On Some Quadratic Algebras I 1/2: Combinatorics of Dunkl and Gaudin Elements, Schubert, Grothendieck, Fuss-Catalan, Universal Tutte and Reduced Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study some combinatorial and algebraic properties of certain quadratic algebras related with dynamical classical and classical Yang-Baxter equations.
  • On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for C*-Dynamical Systems 
    Fathizadeh, F.; Gabriel, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The analog of the Chern-Gauss-Bonnet theorem is studied for a C∗-dynamical system consisting of a C∗-algebra A equipped with an ergodic action of a compact Lie group G. The structure of the Lie algebra g of G is used to ...
  • On the Scaling Limits of Determinantal Point Processes with Kernels Induced by Sturm-Liouville Operators 
    Bornemann, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    By applying an idea of Borodin and Olshanski [J. Algebra 313 (2007), 40-60], we study various scaling limits of determinantal point processes with trace class projection kernels given by spectral projections of selfadjoint ...
  • On the Tracy-Widomβ Distribution for β=6 
    Grava, T.; Its, A.; Kapaev, A.; Mezzadri, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the Tracy-Widom distribution function for Dyson's β-ensemble with β=6. The starting point of our analysis is the recent work of I. Rumanov where he produces a Lax-pair representation for the Bloemendal-Virág ...
  • On Time Correlations for KPZ Growth in One Dimension 
    Ferrari, P.L.; Spohn, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Time correlations for KPZ growth in 1+1 dimensions are reconsidered. We discuss flat, curved, and stationary initial conditions and are interested in the covariance of the height as a function of time at a fixed point on ...
  • Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For each irreducible module of the symmetric group on N objects there is a set of parametrized nonsymmetric Jack polynomials in N variables taking values in the module. These polynomials are simultaneous eigenfunctions of ...
  • Orthogonal Polynomials Associated with Complementary Chain Sequences 
    Behera, K.K.; Sri Ranga, A.; Swaminathan, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ...
  • Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations 
    Martínez, C.; Piñar, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere. First, we will get connection formulas ...

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