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

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

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, ...
  • Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure 
    Raasakka, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a ...
  • Symmetries of the Hirota Difference Equation 
    Pogrebkov, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation ...
  • 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 ...
  • The Chazy XII Equation and Schwarz Triangle Functions 
    Bihun, O.; Chakravarty, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Dubrovin [Lecture Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348] showed that the Chazy XII equation y′′′−2yy′′+3y′²=K(6y′−y²)², K∈C, is equivalent to a projective-invariant equation for an affine connection ...
  • The Fock-Rosly Poisson Structure as Defined by a Quasi-Triangular r-Matrix 
    Mouquin, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We reformulate the Poisson structure discovered by Fock and Rosly on moduli spaces of flat connections over marked surfaces in the framework of Poisson structures defined by Lie algebra actions and quasitriangular r-matrices, ...
  • The Geometry of Almost Einstein (2,3,5) Distributions 
    Sagerschnig, K.; Willse, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions. We characterize in ...
  • The Inverse Spectral Problem for Jacobi-Type Pencils 
    Zagorodnyuk, S.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper we study the inverse spectral problem for Jacobi-type pencils. By a Jacobi-type pencil we mean the following pencil J₅−λJ₃, where J₃ is a Jacobi matrix and J₅ is a semi-infinite real symmetric five-diagonal ...
  • The Malgrange Form and Fredholm Determinants 
    Bertola, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We consider the factorization problem of matrix symbols relative to a closed contour, i.e., a Riemann-Hilbert problem, where the symbol depends analytically on parameters. We show how to define a function τ which is locally ...
  • The Moments of the Hydrogen Atom by the Method of Brackets 
    Gonzalez, I.; Kohl, K.T.; Kondrashuk, I.; Moll, V.H.; Salinas, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Expectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The method of brackets is used to evaluate the ...
  • The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs 
    Güneysu, B.; Pflaum, M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To this end, we start with foundational material and introduce the notion of a pfd structure to build up a new concept of profinite ...
  • 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 ...
  • 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. ...
  • Twistor Geometry of Null Foliations in Complex Euclidean Space 
    Taghavi-Chabert, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We give a detailed account of the geometric correspondence between a smooth complex projective quadric hypersurface Qⁿ of dimension n≥3, and its twistor space PT, defined to be the space of all linear subspaces of maximal ...
  • Twists of Elliptic Curves 
    Kronberg, M.; Soomro, M.A.; Top, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this note we extend the theory of twists of elliptic curves as presented in various standard texts for characteristic not equal to two or three to the remaining characteristics. For this, we make explicit use of the ...
  • Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups 
    Gomi, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A twist is a datum playing a role of a local system for topological K-theory. In equivariant setting, twists are classified into four types according to how they are realized geometrically. This paper lists the possible ...
  • Zamolodchikov Tetrahedral Equation and Higher Hamiltonians of 2d Quantum Integrable Systems 
    Talalaev, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the Zamolodchikov tetrahedral equation. As opposed to the result of V.V. ...
  • 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 ...
  • Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces 
    Kloosterman, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Let Xλ and X′λ be monomial deformations of two Delsarte hypersurfaces in weighted projective spaces. In this paper we give a sufficient condition so that their zeta functions have a common factor. This generalises results ...

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