arXiv:math/0405283 Abstract

arXiv:math/0405283 [math.PR]Abstract References Reviews Resources

A representation of Gibbs measure for the random energy model

Published 2004-05-14Version 1

In this work we consider a problem related to the equilibrium statistical mechanics of spin glasses, namely the study of the Gibbs measure of the random energy model. For solving this problem, new results of independent interest on sums of spacings for i.i.d. Gaussian random variables are presented. Then we give a precise description of the support of the Gibbs measure below the critical temperature.

Journal: Annals of Applied Probability 2004, Vol. 14, No. 2, 651-677

DOI: 10.1214/105051604000000053

Categories: math.PR

Subjects: 62G30, 82B44, 62G32

Keywords: random energy model, gibbs measure, representation, gaussian random variables, spin glasses

Tags: journal article

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