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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:

  • 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 ...
  • Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve 
    Baird, T.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider the moduli space of rank two, odd degree, semi-stable Real vector bundles over a real curve, calculating the singular cohomology ring in odd and zero characteristic for most examples.
  • Commutation Relations and Discrete Garnier Systems 
    Ormerod, C.M.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present four classes of nonlinear systems which may be considered discrete analogues of the Garnier system. These systems arise as discrete isomonodromic deformations of systems of linear difference equations in which ...
  • Constructive Tensor Field Theory 
    Rivasseau, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide an up-to-date review of the recent constructive program for field theories of the vector, matrix and tensor type, focusing not on the models themselves but on the mathematical tools used.
  • Continuous Choreographies as Limiting Solutions of N-body Type Problems with Weak Interaction 
    Castaneira, R.; Padilla, P.; Sánchez-Morgado, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider the limit N→+∞ of N-body type problems with weak interaction, equal masses and −σ-homogeneous potential, 0<σ<1. We obtain the integro-differential equation that the motions must satisfy, with limit choreographic ...
  • (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 ...
  • Doubling (Dual) Hahn Polynomials: Classification and Applications 
    Oste, R.; Van der Jeugt, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We classify all pairs of recurrence relations in which two Hahn or dual Hahn polynomials with different parameters appear. Such couples are referred to as (dual) Hahn doubles. The idea and interest comes from an example ...
  • Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation 
    Schlosser, M.J.; Yoo, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We use elliptic Taylor series expansions and interpolation to deduce a number of summations for elliptic hypergeometric series. We extend to the well-poised elliptic case results that in the q-case have previously been ...
  • Exact Renormalisation Group Equations and Loop Equations for Tensor Models 
    Krajewski, T.; Toriumi, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In this paper, we review some general formulations of exact renormalisation group equations and loop equations for tensor models and tensorial group field theories. We illustrate the use of these equations in the derivation ...
  • Exchange Relations for Finite Type Cluster Algebras with Acyclic Initial Seed and Principal Coefficients 
    Stella, S.; Tumarkin, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give an explicit description of all the exchange relations in any finite type cluster algebra with acyclic initial seed and principal coefficients.
  • Extended Cosmologies 
    Capozziello, S.; De Laurentis, M.F.; Fatibene, L.; Ferraris, M.; Garruto, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We shall discuss cosmological models in extended theories of gravitation. We shall define a surface, called the model surface, in the space of observable parameters which characterises families of theories. We also show ...
  • Fixed Point Algebras for Easy Quantum Groups 
    Gabriel, O.; Weber, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg algebras. Hence they are completely determined ...
  • Flat (2,3,5)-Distributions and Chazy's Equations 
    Randall, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    n the geometry of generic 2-plane fields on 5-manifolds, the local equivalence problem was solved by Cartan who also constructed the fundamental curvature invariant. For generic 2-plane fields or (2,3,5)-distributions ...
  • Flowing in Group Field Theory Space: a Review 
    Carrozza, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models ...
  • From Conformal Group to Symmetries of Hypergeometric Type Equations 
    Dereziński, J.; Majewski, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries ...
  • From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation 
    Chicherin, D.; Derkachov, S.E.; Spiridonov, V.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We start from known solutions of the Yang-Baxter equation with a spectral parameter defined on the tensor product of two infinite-dimensional principal series representations of the group SL(2,C) or Faddeev's modular double. ...
  • Further Properties and Applications of Koszul Pairs 
    Manea, A.; Ştefan, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Koszul pairs were introduced in [arXiv:1011.4243] as an instrument for the study of Koszul rings. In this paper, we continue the enquiry of such pairs, focusing on the description of the second component, as a follow-up ...
  • Generalized Clifford Algebras as Algebras in Suitable Symmetric Linear Gr-Categories 
    Cheng, T.; Huang, H.-L.; Yang, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    By viewing Clifford algebras as algebras in some suitable symmetric Gr-categories, Albuquerque and Majid were able to give a new derivation of some well known results about Clifford algebras and to generalize them. Along ...
  • Generalized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples 
    Demni, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For two families of beta distributions, we show that the generalized Stieltjes transforms of their elements may be written as elementary functions (powers and fractions) of the Stieltjes transform of the Wigner distribution. ...
  • Geometric Monodromy around the Tropical Limit 
    Yamamoto, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Let {Vq}q be a complex one-parameter family of smooth hypersurfaces in a toric variety. In this paper, we give a concrete description of the monodromy transformation of {Vq}q around q=∞ in terms of tropical geometry. The ...

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