Phase transitions and random matrices

Details Phase transitions and random matrices Phase transitions and random matrices

2000-12-06

arxiv.org/abs/cond-mat/0012078v1

Physics

Condensed Matter

Statistical Mechanics

To be published in MSRI vol.40, Cambridge Univ.Press 2001

Scientific paper

Phase transitions generically occur in random matrix models as the parameters in the joint probability distribution of the random variables are varied. They affect all main features of the theory and the interpretation of statistical models . In this paper a brief review of phase transitions in invariant ensembles is provided, with some comments to the singular values decomposition in complex non-hermitian ensembles.

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