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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12 за датою випуску

Сортувати за: Порядок: Результатів:

  • Separability in Riemannian Manifolds 
    Benenti, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.
  • Automorphisms of C* Moduli Spaces Associated to a Riemann Surface 
    Baraglia, D.; Biswas, I.; Schaposnik, L.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group C∗ associated to a compact connected Riemann surface.
  • Modular Form Representation for Periods of Hyperelliptic Integrals 
    Eilers, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    To every hyperelliptic curve one can assign the periods of the integrals over the holomorphic and the meromorphic differentials. By comparing two representations of the so-called projective connection it is possible to ...
  • Report from the Open Problems Session at OPSFA13 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    These are the open problems presented at the 13th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA13), Gaithersburg, Maryland, on June 4, 2015.
  • Nijenhuis Integrability for Killing Tensors 
    Schöbel, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The fundamental tool in the classification of orthogonal coordinate systems in which the Hamilton-Jacobi and other prominent equations can be solved by a separation of variables are second order Killing tensors which satisfy ...
  • Loops in SU(2), Riemann Surfaces, and Factorization, I 
    Basor, E.; Pickrell, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In previous work we showed that a loop g:S¹→SU(2) has a triangular factorization if and only if the loop g has a root subgroup factorization. In this paper we present generalizations in which the unit disk and its double, ...
  • Basic Forms and Orbit Spaces: a Diffeological Approach 
    Karshon, Y.; Watts, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    If a Lie group acts on a manifold freely and properly, pulling back by the quotient map gives an isomorphism between the differential forms on the quotient manifold and the basic differential forms upstairs. We show that ...
  • Flat (2,3,5)-Distributions and Chazy's Equations 
    Randall, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    n the geometry of generic 2-plane fields on 5-manifolds, the local equivalence problem was solved by Cartan who also constructed the fundamental curvature invariant. For generic 2-plane fields or (2,3,5)-distributions ...
  • Notes on Schubert, Grothendieck and Key Polynomials 
    Kirillov, A.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our approach is based on the study of algebraic and ...
  • Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs 
    Avohou, R.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Polynomials on stranded graphs are higher dimensional generalization of Tutte and Bollobás-Riordan polynomials [Math. Ann. 323 (2002), 81-96]. Here, we deepen the analysis of the polynomial invariant defined on rank 3 ...
  • Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve 
    Baird, T.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider the moduli space of rank two, odd degree, semi-stable Real vector bundles over a real curve, calculating the singular cohomology ring in odd and zero characteristic for most examples.
  • Polynomial Sequences Associated with the Moments of Hypergeometric Weights 
    Dominici, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present some families of polynomials related to the moments of weight functions of hypergeometric type. We also consider different types of generating functions, and give several examples.
  • Random Matrices with Merging Singularities and the Painlevé V Equation 
    Claeys, T.; Fahs, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the asymptotic behavior of the partition function and the correlation kernel in random matrix ensembles of the form 1Zn∣∣det(M²−tI)∣∣αe−nTrV(M)dM, where M is an n×n Hermitian matrix, α>−1/2 and t∈R, in double ...
  • Meta-Symplectic Geometry of 3rd Order Monge-Ampère Equations and their Characteristics 
    Manno, G.; Moreno, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This paper is a natural companion of [Alekseevsky D.V., Alonso Blanco R., Manno G., Pugliese F., Ann. Inst. Fourier (Grenoble) 62 (2012), 497-524, arXiv:1003.5177], generalising its perspectives and results to the context ...
  • Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For each irreducible module of the symmetric group on N objects there is a set of parametrized nonsymmetric Jack polynomials in N variables taking values in the module. These polynomials are simultaneous eigenfunctions of ...
  • Variational Sequences, Representation Sequences and Applications in Physics 
    Palese, M.; Rossi, O.; Winterroth, E.; Musilová, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This paper is a review containing new original results on the finite order variational sequence and its different representations with emphasis on applications in the theory of variational symmetries and conservation laws ...
  • Generalized Stieltjes Transforms of Compactly-Supported Probability Distributions: Further Examples 
    Demni, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For two families of beta distributions, we show that the generalized Stieltjes transforms of their elements may be written as elementary functions (powers and fractions) of the Stieltjes transform of the Wigner distribution. ...
  • The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions 
    Sabau, S.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that the co-rays to a ray in a complete non-compact Finsler manifold contain geodesic segments to upper level sets of Busemann functions. Moreover, we characterise the co-point set to a ray as the cut locus of such ...
  • The Asymptotic Expansion of Kummer Functions for Large Values of the α-Parameter, and Remarks on a Paper by Olver 
    Volkmer, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    It is shown that a known asymptotic expansion of the Kummer function U(a,b,z) as a tends to infinity is valid for z on the full Riemann surface of the logarithm. A corresponding result is also proved in a more general ...
  • Hierarchies of Manakov-Santini Type by Means of Rota-Baxter and Other Identities 
    Szablikowski, B.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The Lax-Sato approach to the hierarchies of Manakov-Santini type is formalized in order to extend it to a more general class of integrable systems. For this purpose some linear operators are introduced, which must satisfy ...

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