String‐orthogonal polynomials, string equations, and 2‐Toda symmetries
نویسندگان
چکیده
منابع مشابه
Multiple orthogonal polynomials , string equations and the large - n limit ∗
The Riemann-Hilbert problems for multiple orthogonal polynomials of types I and II are used to derive string equations associated to pairs of Lax-Orlov operators. A method for determining the quasiclassical limit of string equations in the phase space of the Whitham hierarchy of dispersionless integrable systems is provided. Applications to the analysis of the large-n limit of multiple orthogon...
متن کامل97 06 18 2 v 1 2 5 Ju n 19 97 String - orthogonal polynomials , String Equations and Two - Toda Symmetries ∗
A final version of the present paper has appeared in: Comm. Pure and Appl. Math., 50 241–290 (1997). Department of Mathematics, Brandeis University, Waltham, Mass 02254, USA ([email protected]). The support of a National Science Foundation grant # DMS 954-51179 is gratefully acknowledged. Department of Mathematics, Université de Louvain, 1348 Louvain-la-Neuve, Belgium ([email protected]...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 1997
ISSN: 0010-3640,1097-0312
DOI: 10.1002/(sici)1097-0312(199703)50:3<241::aid-cpa3>3.3.co;2-3