Random Energy Model with Compact Distributions
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
In this paper we study the Random energy model - so called toy model of the spin glass theory - where the underlying distributions are compactly supported. We prove a general theorem on the asymptotics of free energy and obtain formulae in several interesting cases - like uniform distribution, truncated double exponential.
Cite
@article{arxiv.math/0602666,
title = {Random Energy Model with Compact Distributions},
author = {Nabin Kumar Jana},
journal= {arXiv preprint arXiv:math/0602666},
year = {2007}
}