String-orthogonal polynomials, string equations, and 2-Toda symmetries

1997/03/01 by Mark Adler, Pierre Van Moerbeke, Pierre van Moerbeke · 3 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics

paper · doi:10.1002/(sici)1097-0312(199703)50:3<241::aid-cpa3>3.0.co;2-b

Abstract

1. The 2-Toda lattice and its generic symmetries\n 2. A Larger class of symmetries for special initial conditions\n 3. Borel decomposition of Moment matrices, tau-functions and\nstring-orthogonal polynomials\n 4. From string-orthogonal Polynomials to the 2-Toda lattice and the string\nequation\n 5. Virasoro constraints on two-matrix integrals\n Comment: 45 pages, Latex

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• Virasoro action on Schur function expansions, skew Young tableaux and random walks
• Integrals over classical Groups, Random permutations, Toda and Toeplitz lattices
• Moment matrices and multi-component KP, with applications to random matrix theory

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