Soliton theory, symmetric functions and matrix integrals

DOI10.1007/s10440-005-0467-zzbMath1146.37355arXivnlin/0207030OpenAlexW2086024988MaRDI QIDQ2501315

Alexander Yu. Orlov

Publication date: 4 September 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0207030

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Other hypergeometric functions and integrals in several variables (33C70) Probabilistic measure theory (60A10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

BKP and projective Hurwitz numbers, Toda hierarchies and their applications, Integrals of tau functions: a round dance tau function and multimatrix integrals, Character expansion of matrix integrals, Fermionic construction of tau functions and random processes, Bilinear expansions of lattices of KP τ -functions in BKP τ -functions: A fermionic approach, Hurwitz numbers and products of random matrices, Hypergeometric functions as infinite-soliton tau functions

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