Riemann-Hilbert Problems, Matrix Orthogonal Polynomials and Discrete Matrix Equations with Singularity Confinement
نویسندگان
چکیده
منابع مشابه
Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems
Classically, a single weight on an interval of the real line leads to moments, orthogonal polynomials and tridiagonal matrices. Appropriately deforming this weight with times t = (t1, t2, ...), leads to the standard Toda lattice and τ -functions, expressed as Hermitian matrix integrals. This paper is concerned with a sequence of t-perturbed weights, rather than one single weight. This sequence ...
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 2011
ISSN: 0022-2526
DOI: 10.1111/j.1467-9590.2011.00541.x