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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

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  • Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1) 
    Faustino, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries.
  • Specialized Orthonormal Frames and Embedding 
    Estabrook, F.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We discuss some specializations of the frames of flat orthonormal frame bundles over geometries of indefinite signature, and the resulting symmetries of families of embedded Riemannian or pseudo-Riemannian geometries. The ...
  • spo(2|2)-Equivariant Quantizations on the Supercircle S¹|² 
    Mellouli, N.; Nibirantiza, A.; Radoux, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider the space of differential operators Dλμ acting between λ- and μ-densities defined on S¹|² endowed with its standard contact structure. This contact structure allows one to define a filtration on Dλμ which is ...
  • Symmetry and Intertwining Operators for the Nonlocal Gross-Pitaevskii Equation 
    Lisok, A.L.; Shapovalov, A.V.; Trifonov, A.Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider the symmetry properties of an integro-differential multidimensional Gross-Pitaevskii equation with a nonlocal nonlinear (cubic) term in the context of symmetry analysis using the formalism of semiclassical ...
  • The Algebra of a q-Analogue of Multiple Harmonic Series 
    Takeyama, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce an algebra which describes the multiplication structure of a family of q-series containing a q-analogue of multiple zeta values. The double shuffle relations are formulated in our framework. They contain a ...
  • The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas 
    Anderson, I.M.; Fels, M.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group. This article shows that solving the Cauchy problem for a Darboux ...
  • The Clifford Deformation of the Hermite Semigroup 
    De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper is a continuation of the paper [De Bie H., Ørsted B., Somberg P., Souček V., Trans. Amer. Math. Soc. 364 (2012), 3875–3902], investigating a natural radial deformation of the Fourier transform in the setting of ...
  • The Construction of Spin Foam Vertex Amplitudes 
    Bianchi, E.; Hellmann, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Spin foam vertex amplitudes are the key ingredient of spin foam models for quantum gravity. These fall into the realm of discretized path integral, and can be seen as generalized lattice gauge theories. They can be seen ...
  • The Infinitesimalization and Reconstruction of Locally Homogeneous Manifolds 
    Blaom, A.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A linear connection on a Lie algebroid is called a Cartan connection if it is suitably compatible with the Lie algebroid structure. Here we show that a smooth connected manifold M is locally homogeneous – i.e., admits an ...
  • The Pascal Triangle of a Discrete Image: Definition, Properties and Application to Shape Analysis 
    Boutin, M.; Huang, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We define the Pascal triangle of a discrete (gray scale) image as a pyramidal arrangement of complex-valued moments and we explore its geometric significance. In particular, we show that the entries of row k of this triangle ...
  • The Symmetry Group of Lamé's System and the Associated Guichard Nets for Conformally Flat Hypersurfaces 
    dos Santos, J.P.; Tenenblat, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider conformally flat hypersurfaces in four dimensional space forms with their associated Guichard nets and Lamé's system of equations. We show that the symmetry group of the Lamé's system, satisfying Guichard ...
  • The Universal Askey-Wilson Algebra and DAHA of Type (Cv₁,C₁) 
    Terwilliger, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
  • The Unruh Effect in General Boundary Quantum Field Theory 
    Colosi, D.; Rätzel, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler ...
  • Twisted Cyclic Cohomology and Modular Fredholm Modules 
    Rennie, A.; Sitarz, A.; Yamashita, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Connes and Cuntz showed in [Comm. Math. Phys. 114 (1988), 515-526] that suitable cyclic cocycles can be represented as Chern characters of finitely summable semifinite Fredholm modules. We show an analogous result in twisted ...
  • Two-Dimensional Toda-Heisenberg Lattice 
    Vekslerchik, V.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this ...
  • Ultradiscrete Painlevé VI with Parity Variables 
    Takemura, K.; Tsutsui, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce a ultradiscretization with parity variables of the q-difference Painlevé VI system of equations. We show that ultradiscrete limit of Riccati-type solutions of q-Painlevé VI satisfies the ultradiscrete Painlevé ...
  • Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations 
    Kondo, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete ...
  • Upper Bounds for Mutations of Potentials 
    Cruz Morales, J.A.; Galkin, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue ...
  • Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
  • Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action. II 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R². The entries of K(x) are expressed in terms of hypergeometric functions. This ...

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