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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Hamiltonian Structure of PI Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting ...
  • Hamilton-Jacobi Theory and Moving Frames 
    MacArthur, J.D.; McLenaghan, R.G.; Smirnov, R.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
  • Heat Trace Asymptotics on Noncommutative Spaces 
    Vassilevich, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are ...
  • Hidden Symmetries of Stochastic Models 
    Aneva, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In the matrix product states approach to n species diffusion processes the stationary probability distribution is expressed as a matrix product state with respect to a quadratic algebra determined by the dynamics of the ...
  • 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 ...
  • KP Trigonometric Solitons and an Adelic Flag Manifold 
    Haine, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that the trigonometric solitons of the KP hierarchy enjoy a differential-difference bispectral property, which becomes transparent when translated on two suitable spaces of pairs of matrices satisfying certain rank ...
  • Lagrangian Approach to Dispersionless KdV Hierarchy 
    Choudhuri, A.; Talukdar, B.; Das, U. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We derive a Lagrangian based approach to study the compatible Hamiltonian structure of the dispersionless KdV and supersymmetric KdV hierarchies and claim that our treatment of the problem serves as a very useful supplement ...
  • Lattice Field Theory with the Sign Problem and the Maximum Entropy Method 
    Imachi, M.; Shinno, Y.; Yoneyama, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Although numerical simulation in lattice field theory is one of the most effective tools to study non-perturbative properties of field theories, it faces serious obstacles coming from the sign problem in some theories such ...
  • Laurent Polynomials and Superintegrable Maps 
    Hone, A.N.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This article is dedicated to the memory of Vadim Kuznetsov, and begins with some of the author's recollections of him. Thereafter, a brief review of Somos sequences is provided, with particular focus being made on the ...
  • Lie Algebroids in Classical Mechanics and Optimal Control 
    Martínez, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems ...
  • Lie Symmetries and Criticality of Semilinear Differential Systems 
    Bozhkov, Y.; Mitidieri, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We discuss the notion of criticality of semilinear differential equations and systems, its relations to scaling transformations and the Noether approach to Pokhozhaev's identities. For this purpose we propose a definition ...
  • Macdonald Polynomials and Multivariable Basic Hypergeometric Series 
    Schlosser, M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we show that the Pieri formula for Macdonald polynomials and its recently discovered inverse, a recursion formula for Macdonald ...
  • Miscellaneous Applications of Quons 
    Kibler, M.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We motivate why such algebras are interesting for fractional supersymmetric quantum mechanics, ...
  • Modular Symmetry and Fractional Charges in N = 2 Supersymmetric Yang-Mills and the Quantum Hall Effect 
    Dolan, B.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The parallel rôles of modular symmetry in N = 2 supersymmetric Yang-Mills and in the quantum Hall effect are reviewed. In supersymmetric Yang-Mills theories modular symmetry emerges as a version of Dirac's electric - ...
  • Monodromy of a Class of Logarithmic Connections on an Elliptic Curve 
    Machu, Francois-Xavier (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus-2 double covers of the elliptic curve. We give an explicit parametrization of all such connections, ...
  • Monogenic Functions in Conformal Geometry 
    Eastwood, M.; Ryan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain system of first order differential equations, ...
  • Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant 
    Inoue, R.; Konishi, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even ...
  • Non-Local Finite-Size Effects in the Dimer Model 
    Izmailian, N.Sh.; Priezzhev, V.B.; Ruelle, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of ...
  • Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations 
    Tychynin, V.; Petrova, O.; Tertyshnyk, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We have constructed new formulae for generation of solutions for the nonlinear heat equation and for the Burgers equation that are based on linearizing nonlocal transformations and on nonlocal symmetries of linear equations. ...
  • N-Wave Equations with Orthogonal Algebras: Z₂ and Z₂ × Z₂ Reductions and Soliton Solutions 
    Gerdjikov, V.S.; Kostov, N.A.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider N-wave type equations related to the orthogonal algebras obtained from the generic ones via additional reductions. The first Z₂-reduction is the canonical one. We impose a second Z₂-reduction and consider also ...

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