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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • Vacuum Energy as Spectral Geometry 
    Fulling, S.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. ...
  • On Gauss-Bonnet Curvatures 
    Labbi, M.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The (2k)-th Gauss-Bonnet curvature is a generalization to higher dimensions of the (2k)-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for k =1. The Gauss-Bonnet curvatures are used in ...
  • Some Sharp L² Inequalities for Dirac Type Operators 
    Balinsky, A.; Ryan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use the spectra of Dirac type operators on the sphere Sn to produce sharp L² inequalities on the sphere. These operators include the Dirac operator on Sn, the conformal Laplacian and Paenitz operator. We use the Cayley ...
  • On Transformations of the Rabelo Equations 
    Sakovich, A.; Sakovich, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable ...
  • An Additive Basis for the Chow Ring of M₀,₂(Pr,2) 
    Cox, J.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space. First we compute the Betti numbers of these spaces using ...
  • Skew Divided Difference Operators and Schubert Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat ...
  • Weakly Nonlocal Hamiltonian Structures: Lie Derivative and Compatibility 
    Sergyeyev, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatible with a given nondegenerate weakly nonlocal symplectic structure J can be written as the Lie derivative of J −1 along a ...
  • Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice 
    Kostov, N.A.; Gerdjikov, V.S.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus k. We also discuss particular cases when the quasiperiodic solutions become periodic ...
  • 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.
  • Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions 
    Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    An exactly solvable position-dependent mass Schrödinger equation in two dimensions, depicting a particle moving in a semi-infinite layer, is re-examined in the light of recent theories describing superintegrable two-dimensional ...
  • Teichmüller Theory of Bordered Surfaces 
    Chekhov, L.O. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We propose the graph description of Teichmüller theory of surfaces with marked points on boundary components (bordered surfaces). Introducing new parameters, we formulate this theory in terms of hyperbolic geometry. We can ...
  • Clifford Algebras and Possible Kinematics 
    McRae, A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review Bacry and Lévy-Leblond's work on possible kinematics as applied to 2-dimensional spacetimes, as well as the nine types of 2-dimensional Cayley-Klein geometries, illustrating how the Cayley-Klein geometries give ...
  • Paths and Tableaux Descriptions of Jacobi-Trudi Determinant Associated with Quantum Affine Algebra of Type Cn 
    Nakai, W.; Nakanishi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study the Jacobi-Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type Cn. Like the Dn case ...
  • Completely Integrable Systems Associated with Classical Root Systems 
    Oshima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study integrals of completely integrable quantum systems associated with classical root systems. We review integrals of the systems invariant under the corresponding Weyl group and as their limits we construct enough ...
  • Yangian of the Strange Lie Superalgebra of Qn₋₁ Type, Drinfel'd Approach 
    Stukopin, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The Yangian of the strange Lie superalgebras in Drinfel'd realization is defined. The current system generators and defining relations are described.
  • 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 ...
  • The Rahman Polynomials Are Bispectral 
    Grünbaum, F.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    In a very recent paper, M. Rahman introduced a remarkable family of polynomials in two variables as the eigenfunctions of the transition matrix for a nontrivial Markov chain due to M. Hoare and M. Rahman. I indicate here ...
  • Global Stability of Dynamic Systems of High Order 
    Benalili, M.; Lansari, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This paper deals with global asymptotic stability of prolongations of flows induced by specific vector fields and their prolongations. The method used is based on various estimates of the flows.
  • Bäcklund Transformation for the BC-Type Toda Lattice 
    Kuznetsov, V.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity ...
  • On 1-Harmonic Functions 
    Wei, S.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface ...

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