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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік за назвою

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  • 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 ...
  • Random Tensors and Quantum Gravity 
    Rivasseau, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We provide an informal introduction to tensor field theories and to their associated renormalization group. We focus more on the general motivations coming from quantum gravity than on the technical details. In particular ...
  • Recursion Operators and Tri-Hamiltonian Structure of the First Heavenly Equation of Plebański 
    Sheftel, M.B.; Yazıcı, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present first heavenly equation of Plebański in a two-component evolutionary form and obtain Lagrangian and Hamiltonian representations of this system. We study all point symmetries of the two-component system and, using ...
  • Reflection Positive Stochastic Processes Indexed by Lie Groups 
    Jorgensen, P.E.T.; Neeb, K.H.; Ólafsson, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Reflection positivity originates from one of the Osterwalder-Schrader axioms for constructive quantum field theory. It serves as a bridge between euclidean and relativistic quantum field theory. In mathematics, more ...
  • 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.
  • Rigid HYM Connections on Tautological Bundles over ALE Crepant Resolutions in Dimension Three 
    Degeratu, A.; Walpuski, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For G a finite subgroup of SL(3,C) acting freely on C³∖{0} a crepant resolution of the Calabi-Yau orbifold C³/G always exists and has the geometry of an ALE non-compact manifold. We show that the tautological bundles on ...
  • 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.
  • Shell Polynomials and Dual Birth-Death Processes 
    Erik A. van Doorn (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    This paper aims to clarify certain aspects of the relations between birth-death processes, measures solving a Stieltjes moment problem, and sets of parameters defining polynomial sequences that are orthogonal with respect ...
  • Singular Instantons and Painlevé VI 
    Muñiz Manasliski, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We consider a two parameter family of instantons, which is studied in [Sadun L., Comm. Math. Phys. 163 (1994), 257-291], invariant under the irreducible action of SU₂ on S⁴, but which are not globally defined. We will see ...
  • Skew-Zigzag Algebras 
    Couture, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We investigate the skew-zigzag algebras introduced by Huerfano and Khovanov. In particular, we relate moduli spaces of such algebras with the cohomology of the corresponding graph.
  • Smoothed Analysis for the Conjugate Gradient Algorithm 
    Menon, G.; Trogdon, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The purpose of this paper is to establish bounds on the rate of convergence of the conjugate gradient algorithm when the underlying matrix is a random positive definite perturbation of a deterministic positive definite ...
  • Solvable Structures Associated to the Nonsolvable Symmetry Algebra sl(2,R) 
    Ruiz, A.; Muriel, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Third-order ordinary differential equations with Lie symmetry algebras isomorphic to the nonsolvable algebra sl(2,R) admit solvable structures. These solvable structures can be constructed by using the basis elements of ...
  • Strictly Positive Definite Kernels on a Product of Spheres II 
    Guella, J.C.; Menegatto, V.A.; Peron, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present, among other things, a necessary and sufficient condition for the strict positive definiteness of an isotropic and positive definite kernel on the cartesian product of a circle and a higher dimensional sphere. ...
  • Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature 
    Calvaruso, G.; Zaeim, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these ...
  • 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 ...
  • 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 Hojman Construction and Hamiltonization of Nonholonomic Systems 
    Bizyaev, I.A.; Borisov, A.V.; Mamaev, I.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In this paper, using the Hojman construction, we give examples of various Poisson brackets which differ from those which are usually analyzed in Hamiltonian mechanics. They possess a nonmaximal rank, and in the general ...
  • The Index of Dirac Operators on Incomplete Edge Spaces 
    Albin, P.; Gell-Redman, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We derive a formula for the index of a Dirac operator on a compact, even-dimensional incomplete edge space satisfying a ''geometric Witt condition''. We accomplish this by cutting off to a smooth manifold with boundary, ...
  • The Multi-Orientable Random Tensor Model, a Review 
    Tanasa, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    After its introduction (initially within a group field theory framework) in [Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages, arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last years ...
  • The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions 
    Johnson-Freyd, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that the Morita equivalences Cliff(4)≃H, Cliff(7)≃Cliff(−1), and Cliff(8)≃R arise from quantizing the Hamiltonian reductions R⁰|4//Spin(3), R⁰|⁷//G₂, and R⁰|⁸//Spin(7), respectively.

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