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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Separability in Riemannian Manifolds 
    Benenti, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.
  • Automorphisms of C* Moduli Spaces Associated to a Riemann Surface 
    Baraglia, D.; Biswas, I.; Schaposnik, L.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group C∗ associated to a compact connected Riemann surface.
  • The Asymptotic Expansion of Kummer Functions for Large Values of the α-Parameter, and Remarks on a Paper by Olver 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    It is shown that a known asymptotic expansion of the Kummer function U(a,b,z) as a tends to infinity is valid for z on the full Riemann surface of the logarithm. A corresponding result is also proved in a more general ...
  • 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 ...
  • Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers 
    Goulden, I.P.; Guay-Paquet, M.; Novak, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This article introduces mixed double Hurwitz numbers, which interpolate combinatorially between the classical double Hurwitz numbers studied by Okounkov and the monotone double Hurwitz numbers introduced recently by Goulden, ...
  • Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases 
    Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We introduce the notion of ''hypergeometric'' polynomials with respect to Newtonian bases. We find the necessary and sufficient conditions for the polynomials Pn(x) to be orthogonal. For the special cases where the sets ...
  • Zeros of Quasi-Orthogonal Jacobi Polynomials 
    Driver, K.; Jordaan, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-orthogonal sequences characterised by α>−1, −2<β<−1. We give necessary and sufficient conditions under which a conjecture by Askey, ...
  • Shell Polynomials and Dual Birth-Death Processes 
    Erik A. van Doorn (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This paper aims to clarify certain aspects of the relations between birth-death processes, measures solving a Stieltjes moment problem, and sets of parameters defining polynomial sequences that are orthogonal with respect ...
  • Universal Lie Formulas for Higher Antibrackets 
    Manetti, M.; Ricciardi, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We prove that the hierarchy of higher antibrackets (aka higher Koszul brackets, aka Koszul braces) of a linear operator Δ on a commutative superalgebra can be defined by some universal formulas involving iterated ...
  • A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank 
    Fu, Y.; Shelley-Abrahamson, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give explicit constructions of some finite-dimensional representations of generalized double affine Hecke algebras (GDAHA) of higher rank using R-matrices for Uq(slN). Our construction is motivated by an analogous ...
  • The Multi-Orientable Random Tensor Model, a Review 
    Tanasa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    After its introduction (initially within a group field theory framework) in [Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages, arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last years ...
  • (D+1)-Colored Graphs - a Review of Sundry Properties 
    Ryan, J.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review the combinatorial, topological, algebraic and metric properties supported by (D+1)-colored graphs, with a focus on those that are pertinent to the study of tensor model theories. We show how to extract a limiting ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) 
    Ruiz, A.; Muriel, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Third-order ordinary differential equations with Lie symmetry algebras isomorphic to the nonsolvable algebra sl(2,R) admit solvable structures. These solvable structures can be constructed by using the basis elements of ...
  • An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles 
    Lubinsky, D.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We survey the current status of universality limits for m-point correlation functions in the bulk and at the edge for unitary ensembles, primarily when the limiting kernels are Airy, Bessel, or Sine kernels. In particular, ...
  • Quantum Cosmology from Group Field Theory Condensates: a Review 
    Gielen, S.; Sindoni, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give, in some detail, a critical overview over recent work towards deriving a cosmological phenomenology from the fundamental quantum dynamics of group field theory (GFT), based on the picture of a macroscopic universe ...
  • A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres 
    Chapling, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider Poisson's equation on the n-dimensional sphere in the situation where the inhomogeneous term has zero integral. Using a number of classical and modern hypergeometric identities, we integrate this equation to ...
  • Classes of Bivariate Orthogonal Polynomials 
    Ismail, M.E.H.; Zhang, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We introduce a class of orthogonal polynomials in two variables which generalizes the disc polynomials and the 2-D Hermite polynomials. We identify certain interesting members of this class including a one variable ...

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