Matrices coupled in a chain. I. Eigenvalue correlations

1997/10/22 by Bertrand Eynard, B. Eynard, M. L. Mehta +1 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Graph theory and applications #Matrix Theory and Algorithms #Random Matrices and Applications #cond-mat

paper · pdf · doi:10.1088/0305-4470/31/19/010

ftex eynmeh.tex, 2 files, 8 pages Submitted to: J. Phys. A

arxiv created 1997/10/22 · openalex publication_date 1998/05/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

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