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

Репозиторій DSpace/Manakin

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

Сортувати за: Порядок: Результатів:

  • On the Chern-Gauss-Bonnet Theorem and Conformally Twisted Spectral Triples for C*-Dynamical Systems 
    Fathizadeh, F.; Gabriel, O. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The analog of the Chern-Gauss-Bonnet theorem is studied for a C∗-dynamical system consisting of a C∗-algebra A equipped with an ergodic action of a compact Lie group G. The structure of the Lie algebra g of G is used to ...
  • On the Scaling Limits of Determinantal Point Processes with Kernels Induced by Sturm-Liouville Operators 
    Bornemann, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    By applying an idea of Borodin and Olshanski [J. Algebra 313 (2007), 40-60], we study various scaling limits of determinantal point processes with trace class projection kernels given by spectral projections of selfadjoint ...
  • On the Tracy-Widomβ Distribution for β=6 
    Grava, T.; Its, A.; Kapaev, A.; Mezzadri, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We study the Tracy-Widom distribution function for Dyson's β-ensemble with β=6. The starting point of our analysis is the recent work of I. Rumanov where he produces a Lax-pair representation for the Bloemendal-Virág ...
  • On Time Correlations for KPZ Growth in One Dimension 
    Ferrari, P.L.; Spohn, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Time correlations for KPZ growth in 1+1 dimensions are reconsidered. We discuss flat, curved, and stationary initial conditions and are interested in the covariance of the height as a function of time at a fixed point on ...
  • 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 ...
  • Orthogonal Polynomials Associated with Complementary Chain Sequences 
    Behera, K.K.; Sri Ranga, A.; Swaminathan, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ...
  • Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations 
    Martínez, C.; Piñar, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere. First, we will get connection formulas ...
  • Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature 
    Rajaratnam, K.; McLenaghan, R.G.; Valero, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review the theory of orthogonal separation of variables of the Hamilton-Jacobi equation on spaces of constant curvature, highlighting key contributions to the theory by Benenti. This theory revolves around a special ...
  • Orthogonal vs. Non-Orthogonal Reducibility of Matrix-Valued Measures 
    Koelink, E.; Román, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    A matrix-valued measure Θ reduces to measures of smaller size if there exists a constant invertible matrix M such that MΘM∗ is block diagonal. Equivalently, the real vector space A of all matrices T such that TΘ(X)=Θ(X)T∗ ...
  • Periodic GMP Matrices 
    Eichinger, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We recall criteria on the spectrum of Jacobi matrices such that the corresponding isospectral torus consists of periodic operators. Motivated by those known results for Jacobi matrices, we define a new class of operators ...
  • Polarisation of Graded Bundles 
    Bruce, A.J.; Grabowski, J.; Rotkiewicz, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We construct the full linearisation functor which takes a graded bundle of degree k (a particular kind of graded manifold) and produces a k-fold vector bundle. We fully characterise the image of the full linearisation ...
  • 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 ...
  • 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.
  • Precise Deviations Results for the Maxima of Some Determinantal Point Processes: the Upper Tail 
    Eichelsbacher, P.; Kriecherbauer, T.; Schüler, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We prove precise deviations results in the sense of Cramér and Petrov for the upper tail of the distribution of the maximal value for a special class of determinantal point processes that play an important role in random ...
  • Quantum Cosmology from Group Field Theory Condensates: a Review 
    Gielen, S.; Sindoni, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We give, in some detail, a critical overview over recent work towards deriving a cosmological phenomenology from the fundamental quantum dynamics of group field theory (GFT), based on the picture of a macroscopic universe ...
  • Quantum Curve and the First Painlevé Equation 
    Iwaki, K.; Saenz, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that the topological recursion for the (semi-classical) spectral curve of the first Painlevé equation PI gives a WKB solution for the isomonodromy problem for PI. In other words, the isomonodromy system is a quantum ...
  • Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem 
    Cariñena, J.F.; Rañada, M.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The existence of quasi-bi-Hamiltonian structures for the Kepler problem is studied. We first relate the superintegrability of the system with the existence of two complex functions endowed with very interesting Poisson ...
  • 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 ...

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