On a nonhierarchical version of the Generalized Random Energy Model. II. Ultrametricity

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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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Probability, 60G60, 82B44

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http://salesiana.dossiersoluciones.com/handle/123456789/174132

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.3436
 http://arxiv.org/abs/0802.3436

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arXiv