Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations
Bleher P.M. (
Department of Mathematical Sciences, Purdue Indianapolis University 402 N. Blackford Street, Indianapolis, IN 46202, USA)
Eynard B. (
CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:
We derive the double scaling limit of eigenvalue correlations in
the random matrix model at critical points
and we relate the limiting correlation functions to a nonlinear
hierarchy of ordinary differential equations.
Année de publication : 2003
Revue : J. Phys. A
36
3085-3105
(2003)
Lien :
http://stacks.iop.org/JPhysA/36/3085
Langue : Anglais
NB : [Special issue: Random Matrix Theory]
Editeurs : Forrester P.J., Snaith N.C., Verbaarschot J.J.M.
Fichier(s) à télécharger : publi.pdf