Matrices coupled in a chain. I. Eigenvalue correlations
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE) Mehta M.L. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract: The general correlation function for the
eigenvalues of $p$ complex hermitian matrices coupled in a chain is
given as a single determinant. For this we use a slight
generalization of a theorem of Dyson.