Laguerre ensemble: correlators, Hurwitz numbers and Hodge integrals

DOI10.1007/s00023-020-00922-4OpenAlexW3103403700MaRDI QIDQ2204005

Massimo Gisonni, Tamara Grava, Giulio Ruzza

Publication date: 2 October 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00525

zbMATH Keywords

Hodge integralsHahn polynomialsHurwitz numbersLaguerre partition function

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Random matrices (algebraic aspects) (15B52) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Hodge theory in global analysis (58A14) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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