|
Título:
|
Analysis of the large-n limit of multiple orthogonal polynomials and non-intersecting Brownian motions
|
|
Autores:
|
Martínez Alonso, Luis ;
Medina Reus, Elena
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Amer Inst Physics, 2009
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Física: Física-Modelos matemáticos
,
Materia = Ciencias: Física: Física matemática
,
Tipo = Sección de libro
|
|
Resumen:
|
In this work we use Riemann-Hilbert problems for multiple orthogonal polynomials in order to derive string equations associated to Lax-Orlov pairs operators. These string equations provide us with a useful tool to analyze the large n-limit of the related hierarchies. The results are finally applied to the study of the associated random matrix models (Gaussian Hermitian matrix models with an external source) and non-intersecting Brownian motions starting from a fix point.
|
|
En línea:
|
https://eprints.ucm.es/34243/1/martinezalonso15libre.pdf
|
