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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Generalized Fuzzy Torus and its Modular Properties 
    Schreivogl, P.; Steinacker, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix ...
  • Geometry of Optimal Control for Control-Affine Systems 
    Clelland, J.N.; Moseley, C.G.; Wilkens, G.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric ...
  • Ground-State Analysis for an Exactly Solvable Coupled-Spin Hamiltonian 
    Mattei, E.; Links, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce a Hamiltonian for two interacting su(2) spins. We use a mean-field analysis and exact Bethe ansatz results to investigate the ground-state properties of the system in the classical limit, defined as the limit ...
  • G-Strands and Peakon Collisions on Diff(R) 
    Holm, D.D.; Ivanov, R.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A G-strand is a map g: R×R→G for a Lie group G that follows from Hamilton's principle for a certain class of G-invariant Lagrangians. Some G-strands on finite-dimensional groups satisfy 1+1 space-time evolutionary equations ...
  • Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz 
    Belliard, S.; Crampé, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We propose a generalization of the algebraic Bethe ansatz to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to the eigenvalues and the Bethe equations found recently by Cao et al. ...
  • Integrability of Discrete Equations Modulo a Prime 
    Kanki, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We apply the ''almost good reduction'' (AGR) criterion, which has been introduced in our previous works, to several classes of discrete integrable equations. We verify our conjecture that AGR plays the same role for maps ...
  • Integrable Flows for Starlike Curves in Centroaffine Space 
    Calini, A.; Ivey, T.; Beffa, G.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct integrable hierarchies of flows for curves in centroaffine R³ through a natural pre-symplectic structure on the space of closed unparametrized starlike curves. We show that the induced evolution equations for ...
  • Integrable Hierarchy of the Quantum Benjamin-Ono Equation 
    Nazarov, M.; Sklyanin, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A hierarchy of pairwise commuting Hamiltonians for the quantum periodic Benjamin-Ono equation is constructed by using the Lax matrix. The eigenvectors of these Hamiltonians are Jack symmetric functions of infinitely many ...
  • Invariant Discretization Schemes Using Evolution-Projection Techniques 
    Bihlo, A.; Nave, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Finite difference discretization schemes preserving a subgroup of the maximal Lie invariance group of the one-dimensional linear heat equation are determined. These invariant schemes are constructed using the invariantization ...
  • Invertible Darboux Transformations 
    Shemyakova, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For operators of many different kinds it has been proved that (generalized) Darboux transformations can be built using so called Wronskian formulae. Such Darboux transformations are not invertible in the sense that the ...
  • Leibniz Algebras and Lie Algebras 
    Mason, G.; Yamskulna, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative ...
  • Levi-Civita's Theorem for Noncommutative Tori 
    Rosenberg, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show how to define Riemannian metrics and connections on a noncommutative torus in such a way that an analogue of Levi-Civita's theorem on the existence and uniqueness of a Riemannian connection holds. The major novelty ...
  • Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models 
    Bojowald, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The mathematical structure of homogeneous loop quantum cosmology is analyzed, starting with and taking into account the general classification of homogeneous connections not restricted to be Abelian. As a first consequence, ...
  • Multi-Component Integrable Systems and Invariant Curve Flows in Certain Geometries 
    Qu, C.; Song, J.; Yao, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to the dual version of the Schrödinger equation, ...
  • Object-Image Correspondence for Algebraic Curves under Projections 
    Burdis, J.M.; Kogan, I.A.; Hong, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a novel algorithm for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. The motivation comes from the problem of ...
  • On Addition Formulae for Sigma Functions of Telescopic Curves 
    Ayano, T.; Nakayashiki, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A telescopic curve is a certain algebraic curve defined by m−1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n,s) curve as a special case. We extend the addition formulae for sigma ...
  • On Addition Formulae of KP, mKP and BKP Hierarchies 
    Shigyo, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and ...
  • On a Seminal Paper by Karlin and McGregor 
    Castro, M.M.; Grünbaum, F.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their ...
  • On a Trivial Family of Noncommutative Integrable Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaars-Schneider systems and apply one of these ...
  • On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces 
    Cheh, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We show how to find a complete set of necessary and sufficient conditions that solve the fixed-parameter local congruence problem of immersions in G-spaces, whether homogeneous or not, provided that a certain kth order jet ...

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