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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • On the n-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group 
    Franco, J.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    By restricting to a special class of smooth functions, the local action of the symmetry group is globalized. This special class of functions is constructed using parabolic induction.
  • Vector-Valued Polynomials and a Matrix Weight Function with B₂-Action 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
  • Specialized Orthonormal Frames and Embedding 
    Estabrook, F.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We discuss some specializations of the frames of flat orthonormal frame bundles over geometries of indefinite signature, and the resulting symmetries of families of embedded Riemannian or pseudo-Riemannian geometries. The ...
  • The Construction of Spin Foam Vertex Amplitudes 
    Bianchi, E.; Hellmann, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Spin foam vertex amplitudes are the key ingredient of spin foam models for quantum gravity. These fall into the realm of discretized path integral, and can be seen as generalized lattice gauge theories. They can be seen ...
  • Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics 
    Dasgupta, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations ...
  • Courant Algebroids. A Short History 
    Kosmann-Schwarzbach, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of ...
  • Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation. This is then applied ...
  • Ammann Tilings in Symplectic Geometry 
    Battaglia, F.; Prato, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this article we study Ammann tilings from the perspective of symplectic geometry. Ammann tilings are nonperiodic tilings that are related to quasicrystals with icosahedral symmetry. We associate to each Ammann tiling ...
  • 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 ...
  • A Generalization of the Hopf-Cole Transformation 
    Miškinis, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical ...
  • The Cauchy Problem for Darboux Integrable Systems and Non-Linear d'Alembert Formulas 
    Anderson, I.M.; Fels, M.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    To every Darboux integrable system there is an associated Lie group G which is a fundamental invariant of the system and which we call the Vessiot group. This article shows that solving the Cauchy problem for a Darboux ...
  • 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 ...
  • Bispectrality of the Complementary Bannai-Ito Polynomials 
    Genest, V.X.; Vinet, L.; Zhedanov, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A one-parameter family of operators that have the complementary Bannai-Ito (CBI) polynomials as eigenfunctions is obtained. The CBI polynomials are the kernel partners of the Bannai-Ito polynomials and also correspond to ...
  • The Unruh Effect in General Boundary Quantum Field Theory 
    Colosi, D.; Rätzel, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler ...
  • 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 ...
  • Cauchy Problem for a Darboux Integrable Wave Map System and Equations of Lie Type 
    Vassiliou, P.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The Cauchy problem for harmonic maps from Minkowski space with its standard flat metric to a certain non-constant curvature Lorentzian 2-metric is studied. The target manifold is distinguished by the fact that the ...
  • A Projection Argument for Differential Inclusions, with Applications to Persistence of Mass-Action Kinetics 
    Gopalkrishnan, M.; Miller, E.; Shiu, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Motivated by questions in mass-action kinetics, we introduce the notion of vertexical family of differential inclusions. Defined on open hypercubes, these families are characterized by particular good behavior under ...
  • A Quasi-Lie Schemes Approach to Second-Order Gambier Equations 
    Cariñena, J.F.; Guha, P.; de Lucas, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A quasi-Lie scheme is a geometric structure that provides t-dependent changes of variables transforming members of an associated family of systems of first-order differential equations into members of the same family. In ...
  • 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 ...
  • 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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