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

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

Сортувати за: Порядок: Результатів:

  • 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 ...
  • On Orbifold Criteria for Symplectic Toric Quotients 
    Farsi, C.; Seaton, C.; Herbig, H.-C (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients ...
  • On the Linearization of Second-Order Ordinary Differential Equations to the Laguerre Form via Generalized Sundman Transformations 
    Mustafa, M.T.; Al-Dweik, A.Y.; Mara'beh, R.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The linearization problem for nonlinear second-order ODEs to the Laguerre form by means of generalized Sundman transformations (S-transformations) is considered, which has been investigated by Duarte et al. earlier. A ...
  • 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.
  • On the N-Solitons Solutions in the Novikov-Veselov Equation 
    Chang, J.-H. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct the N-solitons solution in the Novikov-Veselov equation from the extended Moutard transformation and the Pfaffian structure. Also, the corresponding wave functions are obtained explicitly. As a result, the ...
  • Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3 
    Korepanov, I.G.; Sadykov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider relations in Grassmann algebra corresponding to the four-dimensional Pachner move 3-3, assuming that there is just one Grassmann variable on each 3-face, and a 4-simplex weight is a Grassmann-Gaussian exponent ...
  • Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors 
    Sheftel, M.B.; Malykh, A.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can produce noninvariant solutions of complex ...
  • Pentagon Relations in Direct Sums and Grassmann Algebras 
    Korepanov, I.G.; Sadykov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching ...
  • Period Matrices of Real Riemann Surfaces and Fundamental Domains 
    Giavedoni, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    For some positive integers g and n we consider a subgroup Gg,n of the 2g-dimensional modular group keeping invariant a certain locus Wg,n in the Siegel upper half plane of degree g. We address the problem of describing a ...
  • Quasicomplex N=2, d=1 Supersymmetric Sigma Models 
    Ivanov, E.A.; Smilga, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target ...
  • Relative Critical Points 
    Lewis, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appropriate scalar functions parametrized by the Lie algebra (or its dual) of the symmetry group. Setting aside the structures ...
  • Representation Theory of Quantized Enveloping Algebras with Interpolating Real Structure 
    de Commer, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Let g be a compact simple Lie algebra. We modify the quantized enveloping ∗-algebra associated to g by a real-valued character on the positive part of the root lattice. We study the ensuing Verma module theory, and the ...
  • 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 ...
  • Solvable Many-Body Models of Goldfish Type with One-, Two- and Three-Body Forces 
    Bihun, O.; Calogero, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    The class of solvable many-body problems ''of goldfish type'' is extended by including (the additional presence of) three-body forces. The solvable N-body problems thereby identified are characterized by Newtonian equations ...
  • Solving Local Equivalence Problems with the Equivariant Moving Frame Method 
    Valiquette, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    Given a Lie pseudo-group action, an equivariant moving frame exists in the neighborhood of a submanifold jet provided the action is free and regular. For local equivalence problems the freeness requirement cannot always ...

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