Tau Functions and the Limit of Block Toeplitz Determinants

DOI10.1093/imrn/rnu262zbMath1338.37083arXiv1404.5149OpenAlexW3098286155MaRDI QIDQ3451036

Chao-Zhong Wu, Mattia Cafasso

Publication date: 10 November 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5149

zbMATH Keywords

Riemann-Hilbert problem\(\tau\)-functionSato-Segal-Wilson Grassmanian

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (9)

Drinfeld-Sokolov hierarchies, tau functions, and generalized Schur polynomials ⋮ Tau functions as Widom constants ⋮ Rigidity of Kac-Schwarz operators ⋮ Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies ⋮ Tau functions and Virasoro symmetries for Drinfeld-Sokolov hierarchies ⋮ On the Drinfeld-Sokolov hierarchy of type \(E_6^{(1)}\) and its topological solution ⋮ Simple Lie algebras, Drinfeld--Sokolov hierarchies, and multi-point correlation functions ⋮ Tau functions of solutions of soliton equations ⋮ Fredholm Pfaffian \(\tau \)-functions for orthogonal isospectral and isomonodromic systems

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