Publication : t98/001

Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix

Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)

Abstract:
We consider the correlation functions of eigenvalues of a unidimensional chain of large random hermitian matrices. An asymptotic expression of the orthogonal polynomials allows to find new results for the correlations of eigenvalues of different matrices of the chain. Eventually, we consider the limit of the infinite chain of matrices, which can be interpreted as a time dependent one-matrix model, and give the correlation functions of eigenvalues at different times.

Année de publication : 1998
Revue : J. Phys. A 31 8081-8102 (1998)
Preprint : arXiv:cond-mat/9801075
Lien : http://stacks.iop.org/JPhysA/31/8081
PACS : 05.40+j, 05.45.+b
Keywords : Random matrices, Multi-matrix model, Time dependent correlations, Universal correlations, Orthogonal polynomials
Numéro Exterieur : DTP/97-59
Langue : Anglais