On a nonhierarchical version of the Generalized Random Energy Model. II. Ultrametricity
Probability
2008-11-17 v2
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.
Cite
@article{arxiv.0802.3436,
title = {On a nonhierarchical version of the Generalized Random Energy Model. II. Ultrametricity},
author = {Erwin Bolthausen and Nicola Kistler},
journal= {arXiv preprint arXiv:0802.3436},
year = {2008}
}
Comments
Revised version