Random and Integrable Models in Mathematics and Physics

DOI10.1007/978-1-4419-9514-8_1zbMath1252.15043arXiv0712.3847OpenAlexW1503514293MaRDI QIDQ2908883

Pierre van Moerbeke

Publication date: 29 August 2012

Published in: Random Matrices, Random Processes and Integrable Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3847

zbMATH Keywords

wordsorthogonal polynomialslimit theoremKP equationrandom matrixVirasoro constraintgeneralized permutations and percolationHermitian matrix ensemblesmatrix ensembleToeplitz and Fredholm determinants

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hermitian, skew-Hermitian, and related matrices (15B57) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Random matrices (algebraic aspects) (15B52) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (8)

Nonintersecting random walks in the neighborhood of a symmetric tacnode ⋮ Empirical scaling of the length of the longest increasing subsequences of random walks ⋮ Unnamed Item ⋮ Double Aztec diamonds and the tacnode process ⋮ BKP hierarchy and Pfaffian point process ⋮ Phase transitions and equilibrium measures in random matrix models ⋮ Matrix kernels for measures on partitions ⋮ Universal structure and universal equations (PDE) for unitary ensembles

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