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A Representation of Gibbs Measure for the Random Energy Model

Marie F. Kratz and Pierre Picco
The Annals of Applied Probability
Vol. 14, No. 2 (May, 2004), pp. 651-677
Stable URL: http://www.jstor.org/stable/4140423
Page Count: 27
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Representation of Gibbs Measure for the Random Energy Model
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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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