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arXiv · 0802.3436

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

Erwin Bolthausen·Nicola Kistler
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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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Erwin Bolthausen, Nicola Kistler. 2008-11-17. On a nonhierarchical version of the Generalized Random Energy Model. II. Ultrametricity. https://arxiv.org/abs/0802.3436

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