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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:

  • Hypergroups Related to a Pair of Compact Hypergroups 
    Heyer, H.; Kawakami, S.; Tsurii, T.; Yamanaka, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup H and a closed subhypergroup H₀ of H with |H/H₀|<+∞. The convolution of this hypergroup is ...
  • Initial Value Problems for Integrable Systems on a Semi-Strip 
    Sakhnovich, A.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of ...
  • Integrability of Nonholonomic Heisenberg Type Systems 
    Grigoryev, Y. A.; Sozonov, A.P.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, ...
  • Invitation to Random Tensors 
    Gurau, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This article is preface to the SIGMA special issue ''Tensor Models, Formalism and Applications'', http://www.emis.de/journals/SIGMA/Tensor_Models.html. The issue is a collection of eight excellent, up to date reviews on ...
  • Large N Limits in Tensor Models: Towards More Universality Classes of Colored Triangulations in Dimension d ≥ 2 
    Bonzom, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review an approach which aims at studying discrete (pseudo-)manifolds in dimension d≥2 and called random tensor models. More specifically, we insist on generalizing the two-dimensional notion of p-angulations to higher ...
  • Loops in SU(2), Riemann Surfaces, and Factorization, I 
    Basor, E.; Pickrell, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In previous work we showed that a loop g:S¹→SU(2) has a triangular factorization if and only if the loop g has a root subgroup factorization. In this paper we present generalizations in which the unit disk and its double, ...
  • Meta-Symplectic Geometry of 3rd Order Monge-Ampère Equations and their Characteristics 
    Manno, G.; Moreno, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This paper is a natural companion of [Alekseevsky D.V., Alonso Blanco R., Manno G., Pugliese F., Ann. Inst. Fourier (Grenoble) 62 (2012), 497-524, arXiv:1003.5177], generalising its perspectives and results to the context ...
  • Möbius Invariants of Shapes and Images 
    Marsland, S.; McLachlan, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Identifying when different images are of the same object despite changes caused by imaging technologies, or processes such as growth, has many applications in fields such as computer vision and biological image analysis. ...
  • Modular Form Representation for Periods of Hyperelliptic Integrals 
    Eilers, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    To every hyperelliptic curve one can assign the periods of the integrals over the holomorphic and the meromorphic differentials. By comparing two representations of the so-called projective connection it is possible to ...
  • Moments Match between the KPZ Equation and the Airy Point Process 
    Borodin, A.; Gorin, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The 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 ...
  • Multidimensional Toda Lattices: Continuous and Discrete Time 
    Aptekarev, A.I.; Derevyagin, M.; Miki, H.; Van Assche, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we ...
  • 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 ...

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