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

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dc.creatorEynard, Bertrand
dc.date1998-01-09
dc.date.accessioned2026-07-07T10:51:41Z
dc.date.available2026-07-07T10:51:41Z
dc.descriptionWe 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.
dc.descriptionTex-Harvmac, 27 pages, submitted to Journ. Phys. A
dc.identifierhttps://arxiv.org/abs/cond-mat/9801075
dc.identifierhttp://arxiv.org/abs/cond-mat/9801075
dc.identifierJ.Phys.A31:8081,1998
dc.identifierdoi:10.1088/0305-4470/31/40/005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184906
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.titleCorrelation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix
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