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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:

  • 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 ...
  • Geometry of G-Structures via the Intrinsic Torsion 
    Niedziałomski, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the geometry of a G-structure P inside the oriented orthonormal frame bundle SO(M) over an oriented Riemannian manifold M. We assume that G is connected and closed, so the quotient SO(n)/G, where n=dimM, is a ...
  • Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems 
    Tondo, G.; Tempesta, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized Stäckel systems and, as a particular case, of the quasi-bi-Hamiltonian systems. As an application, we recover ...
  • Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities 
    Szablikowski, B.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The Lax-Sato approach to the hierarchies of Manakov-Santini type is formalized in order to extend it to a more general class of integrable systems. For this purpose some linear operators are introduced, which must satisfy ...
  • Hom-Big Brackets: Theory and Applications 
    Cai, L.; Sheng, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In this paper, we introduce the notion of hom-big brackets, which is a generalization of Kosmann-Schwarzbach's big brackets. We show that it gives rise to a graded hom-Lie algebra. Thus, it is a useful tool to study ...
  • Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring 
    Karp, D.; Prilepkina, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The fundamental set of solutions of the generalized hypergeometric differential equation in the neighborhood of unity has been built by Nørlund in 1955. The behavior of the generalized hypergeometric function in the ...
  • 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 ...
  • Hypergeometric τ Functions of the q-Painlevé Systems of Types A⁽¹⁾₄ and (A₁+A′₁)⁽¹⁾ 
    Nakazono, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider q-Painlevé equations arising from birational representations of the extended affine Weyl groups of A⁽¹⁾₄- and (A₁+A₁)⁽¹⁾-types. We study their hypergeometric solutions on the level of τ functions.
  • 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 ...

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