Correlation kernels for discrete symplectic and orthogonal ensembles
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Publication:842429
DOI10.1007/s00220-008-0629-8zbMath1190.82005arXiv0712.1693OpenAlexW2009131444MaRDI QIDQ842429
Eugene Strahov, Alexei Borodin
Publication date: 25 September 2009
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.1693
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Quantum equilibrium statistical mechanics (general) (82B10) Random matrices (algebraic aspects) (15B52) Polynomials and rational functions of one complex variable (30C10)
Related Items
The \(z\)-measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel ⋮ Z-measures on partitions related to the infinite Gelfand pair \((S(2\infty ),H(\infty ))\) ⋮ Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\) ⋮ Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions ⋮ Discrete analogues of Macdonald-Mehta integrals ⋮ Matrix kernels for measures on partitions
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