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Random Matrix Theory in Lattice Statistical Mechanics

J. -Ch. Angles d'Auriac·J. -M. Maillard
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Abstract

In this short note we collect together known results on the use of Random Matrix Theory in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis provides an intrinsic characterization of integrability, and secondly it appears to be an effective tool to find new integrable models. Various examples from quantum and classical statistical mechanics are presented.

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J. -Ch. Angles d'Auriac, J. -M. Maillard. 2002-09-30. Random Matrix Theory in Lattice Statistical Mechanics. https://arxiv.org/abs/cond-mat/0209679

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