On a nonhierarchical version of the generalized random energy model
Probability
2007-05-23 v1
Abstract
We introduce a natural nonhierarchical version of Derrida's generalized random energy model. We prove that, in the thermodynamical limit, the free energy is the same as that of a suitably constructed GREM.
Cite
@article{arxiv.math/0603212,
title = {On a nonhierarchical version of the generalized random energy model},
author = {Erwin Bolthausen and Nicola Kistler},
journal= {arXiv preprint arXiv:math/0603212},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/105051605000000665 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)