RT Journal Article
T1 Multiple orthogonal polynomials, string equationsand the large-n limit
A1 Martínez Alonso, Luis
A1 Medina Reus, Elena
AB The Riemann-Hilbert problems for multiple orthogonal polynomials of types I and II are used to derive string equations associated with 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 orthogonal polynomials and their associated random matrix ensembles and models of non-intersecting Brownian motions are given.
PB IOP Publishing Ltd
SN 1751-8113
YR 2009
FD 2009-03-22
LK https://hdl.handle.net/20.500.14352/44794
UL https://hdl.handle.net/20.500.14352/44794
LA eng
NO ©IOP Publishing Ltd.The authors wish to thank the Spanish Ministerio de Educación y Ciencia (research project FIS2008-00200/FIS) for its finantial support. This work is also part of the MISGAM programme of the European Science Foundation.
NO Spanish Ministerio de Educación y Ciencia
NO European Science Foundation (MISGAM programme)
DS Docta Complutense
RD 8 abr 2025