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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Image Sampling with Quasicrystals 
    Grundland, M.; Patera, J.; Masáková, Z.; Dodgson, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread ...
  • Imaginary Powers of the Dunkl Harmonic Oscillator 
    Nowak, A.; Stempak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded ...
  • Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2 
    Scharlach, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    An affine hypersurface M is said to admit a pointwise symmetry, if there exists a subgroup G of Aut(TpM) for all p ∈ M, which preserves (pointwise) the affine metric h, the difference tensor K and the affine shape operator ...
  • Induced Modules for Affine Lie Algebras 
    Futorny, V.; Kashuba, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...
  • Induced Representations and Hypergroupoids 
    Renault, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a ...
  • 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 and Diffeomorphisms on Target Space 
    Adam, C.; Sanchez-Guillen, J.; Wereszczynski, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under ...
  • Integrability of Discrete Equations Modulo a Prime 
    Kanki, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We apply the ''almost good reduction'' (AGR) criterion, which has been introduced in our previous works, to several classes of discrete integrable equations. We verify our conjecture that AGR plays the same role for maps ...
  • 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, ...
  • Integrability, Quantization and Moduli Spaces of Curves 
    Rossi, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper has the purpose of presenting in an organic way a new approach to integrable (1+1)-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable ...
  • Integrable Background Geometries 
    Calderbank, D.M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable ...
  • Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency 
    Caudrelier, V.; Crampé, N.; Zhang, Q.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We propose the notion of integrable boundary in the context of discrete integrable systems on quad-graphs. The equation characterizing the boundary must satisfy a compatibility equation with the one characterizing the bulk ...
  • Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality 
    Fateev, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized ...
  • Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy 
    Svinin, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We consider the extended discrete KP hierarchy and show that similarity reduction of its subhierarchies lead to purely discrete equations with dependence on some number of parameters together with equations governing ...
  • Integrable Flows for Starlike Curves in Centroaffine Space 
    Calini, A.; Ivey, T.; Beffa, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct integrable hierarchies of flows for curves in centroaffine R³ through a natural pre-symplectic structure on the space of closed unparametrized starlike curves. We show that the induced evolution equations for ...
  • Integrable hierarchy of higher nonlinear Schrödinger type equations 
    Kundu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Addition of higher nonlinear terms to the well known integrable nonlinear Schrödinger (NLS) equations, keeping the same linear dispersion (LD) usually makes the system nonintegrable. We present a systematic method through ...
  • Integrable Hierarchy of the Quantum Benjamin-Ono Equation 
    Nazarov, M.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many ...
  • Integrable Models of Interaction of Matter with Radiation 
    Inozemtsev, V.I.; Inozemtseva, N.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for ...
  • Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups 
    Gershun, V.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    We considered two types of string models: on the Riemmann space of string coordinates with null torsion and on the Riemman-Cartan space of string coordinates with constant torsion. We used the hydrodynamic approach of ...
  • Integrable Structure of Multispecies Zero Range Process 
    Kuniba, A.; Okado, M.; Watanabe, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic R matrices of quantum affine algebra Uq(An⁽¹⁾), matrix product construction ...

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