Hurwitz numbers and products of random matrices

DOI10.1134/S0040577917090033zbMath1430.37080OpenAlexW2760659489MaRDI QIDQ681946

Alexander Yu. Orlov

Publication date: 13 February 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917090033

zbMATH Keywords

Klein surfaceSchur polynomialsymmetric groupToda latticehypergeometric functionHurwitz numbertau functionKadomtsev-Petviashvili hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Random matrices (algebraic aspects) (15B52) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (5)

From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity ⋮ Integrals of tau functions: a round dance tau function and multimatrix integrals ⋮ Character expansion of matrix integrals ⋮ Hurwitz numbers from Feynman diagrams ⋮ Weighted Hurwitz numbers and topological recursion

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