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

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

Abstract: The universality of correlation functions of eigenvalues of large random matrices has been observed in various physical systems, and proved in some particular cases, as the hermitian one-matrix model with polynomial potential. Here, we consider the more difficult case of a unidimensional chain of matrices with first neighbour couplings and polynomial potentials. An asymptotic expressi...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 1998

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/31/40/005