Article ID Journal Published Year Pages File Type
1156254 Stochastic Processes and their Applications 2009 30 Pages PDF
Abstract

We study the Gibbs measure of the nonhierarchical versions of the Generalized Random Energy Models introduced in previous work. We prove that the ultrametricity holds only provided some nondegeneracy conditions on the Hamiltonian are met.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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On a nonhierarchical version of the Generalized Random Energy Model, II: Ultrametricity
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