Large Deviations and Random Energy Models
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
A unified treatment for the existence of free energy in several random energy models is presented. If the sequence of distributions associated with the particle systems obeys a large deviation principle, then the free energy exists almost surely. This includes all the known cases as well as some heavy-tailed distributions.
Cite
@article{arxiv.math/0612836,
title = {Large Deviations and Random Energy Models},
author = {N. K. Jana and B. V. Rao},
journal= {arXiv preprint arXiv:math/0612836},
year = {2007}
}
Comments
10 pages