A representation of Gibbs measure for the random energy model

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dc.creatorKratz, Marie F.
dc.creatorPicco, Pierre
dc.date2004-05-14
dc.date.accessioned2026-07-07T05:08:16Z
dc.date.available2026-07-07T05:08:16Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math/0405283
dc.identifierhttp://arxiv.org/abs/math/0405283
dc.identifierAnnals of Applied Probability 2004, Vol. 14, No. 2, 651-677
dc.identifierdoi:10.1214/105051604000000053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71197
dc.subjectProbability
dc.subject62G30, 82B44 (Primary) 62G32. (Secondary)
dc.titleA representation of Gibbs measure for the random energy model
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