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May 2004 A representation of Gibbs measure for the random energy model
Marie F. Kratz, Pierre Picco
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Ann. Appl. Probab. 14(2): 651-677 (May 2004). DOI: 10.1214/105051604000000053

Abstract

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.

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Marie F. Kratz. Pierre Picco. "A representation of Gibbs measure for the random energy model." Ann. Appl. Probab. 14 (2) 651 - 677, May 2004. https://doi.org/10.1214/105051604000000053

Information

Published: May 2004
First available in Project Euclid: 23 April 2004

zbMATH: 1070.82016
MathSciNet: MR2052897
Digital Object Identifier: 10.1214/105051604000000053

Subjects:
Primary: 62G30 , 82B44
Secondary: 62G32

Keywords: Extremes , Gaussian r.v. , order statistics , random spin systems , uniform r.v.

Rights: Copyright © 2004 Institute of Mathematical Statistics

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Vol.14 • No. 2 • May 2004
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