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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за датою випуску

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік за датою випуску

Сортувати за: Порядок: Результатів:

  • Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials 
    Odake, S.; Sasaki, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their ...
  • Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II 
    Deift, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, ...
  • Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold 
    Hladysh, B.I.; Prishlyak, A.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper focuses on the problem of topological equivalence of functions with isolated critical points on the boundary of a compact surface M which are also isolated critical points of their restrictions to the boundary. ...
  • Check-Operators and Quantum Spectral Curves 
    Mironov, A.; Morozov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We review the basic properties of effective actions of families of theories (i.e., the actions depending on additional non-perturbative moduli along with perturbative couplings), and their description in terms of operators ...
  • A Combinatorial Study on Quiver Varieties 
    Fujii, S.; Minabe, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This is an expository paper which has two parts. In the first part, we study quiver varieties of affine A-type from a combinatorial point of view. We present a combinatorial method for obtaining a closed formula for the ...
  • Isomonodromy for the Degenerate Fifth Painlevé Equation 
    Acosta-Humánez, P.B.; van der Put, M.; Top, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This is a sequel to papers by the last two authors making the Riemann-Hilbert correspondence and isomonodromy explicit. For the degenerate fifth Painlevé equation, the moduli spaces for connections and for monodromy are ...
  • Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models 
    Dhont, G.; Iwai, T.; Zhilinskií, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry and energy-reflection symmetry. Further ...
  • Zero Range Process and Multi-Dimensional Random Walks 
    Bogoliubov, N.M.; Malyshev, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The special limit of the totally asymmetric zero range process of the low-dimensional non-equilibrium statistical mechanics described by the non-Hermitian Hamiltonian is considered. The calculation of the conditional ...
  • Central Configurations and Mutual Differences 
    Ferrario, D.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Central configurations are solutions of the equations λmjqj=∂U/∂qj, where U denotes the potential function and each qj is a point in the d-dimensional Euclidean space E≅Rd, for j=1,…,n. We show that the vector of the mutual ...
  • GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities 
    Zhou, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period integrals. In this work we give different realizations and interpretations of the extra solution, in terms of oscillating integral, ...
  • G-Invariant Deformations of Almost-Coupling Poisson Structures 
    Vallejo, J.A.; Vorobiev, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
  • Irregular Conformal States and Spectral Curve: Irregular Matrix Model Approach 
    Rim, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present recent developments of irregular conformal conformal states. Irregular vertex operators and their adjoint in a new formalism are used to define the irregular conformal states and their inner product instead of ...
  • On Toric Poisson Structures of Type (1,1) and their Cohomology 
    Caine, A.; Givens, B.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We classify real Poisson structures on complex toric manifolds of type (1,1) and initiate an investigation of their Poisson cohomology. For smooth toric varieties, such structures are necessarily algebraic and are homogeneous ...
  • Symmetries of the Space of Linear Symplectic Connections 
    Fox, D.J.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    There is constructed a family of Lie algebras that act in a Hamiltonian way on the symplectic affine space of linear symplectic connections on a symplectic manifold. The associated equivariant moment map is a formal sum ...
  • Doran-Harder-Thompson Conjecture via SYZ Mirror Symmetry: Elliptic Curves 
    Kanazawa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We prove the Doran-Harder-Thompson conjecture in the case of elliptic curves by using ideas from SYZ mirror symmetry. The conjecture claims that when a Calabi-Yau manifold X degenerates to a union of two quasi-Fano manifolds ...
  • Classification of Multidimensional Darboux Transformations: First Order and Continued Type 
    Hobby, D.; Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze Darboux transformations in very general settings for multidimensional linear partial differential operators. We consider all known types of Darboux transformations, and present a new type. We obtain a full ...
  • Classical and Quantum Superintegrability of Stäckel Systems 
    Błaszak, M.; Marciniak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper we discuss maximal superintegrability of both classical and quantum Stäckel systems. We prove a sufficient condition for a flat or constant curvature Stäckel system to be maximally superintegrable. Further, ...
  • q -Difference Kac-Schwarz Operators in Topological String Theory 
    Takasaki, K.; Nakatsu, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topological vertex. Open string amplitudes on each ...
  • Drinfeld J Presentation of Twisted Yangians 
    Belliard, S.; Regelskis, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We present a quantization of a Lie coideal structure for twisted half-loop algebras of finite-dimensional simple complex Lie algebras. We obtain algebra closure relations of twisted Yangians in Drinfeld J presentation for ...
  • Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation 
    Chiba, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A multi-Poisson structure on a Lie algebra g provides a systematic way to construct completely integrable Hamiltonian systems on g expressed in Lax form ∂Xλ/∂t=[Xλ,Aλ] in the sense of the isospectral deformation, where ...

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