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

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

2008-02-23

arxiv.org/abs/0802.3436v2

Mathematics

Probability

Revised version

Scientific paper

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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