Phase transitions and random matrices

Cicuta, G.M.

Phase transitions and random matrices

G.M. Cicuta
(
- Parma U.
)

Dec, 2000

17 pages

e-Print:

cond-mat/0012078 [cond-mat]

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Abstract: (arXiv)

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.

Note:

To be published in MSRI vol.40, Cambridge Univ. Press 2001 •
To be published in MSRI vol.40, Cambridge Univ.Press 2001 Subj-class: Statistical Mechanics

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