Glassy phase and freezing of log-correlated Gaussian potentials
Probability
2013-10-22 v1
Abstract
In this paper, we consider the Gibbs measure associated to a logarithmically correlated random potential (including two dimensional free fields) at low temperature. We prove that the energy landscape freezes and enters in the so-called glassy phase. The limiting Gibbs weights are integrated atomic random measures with random intensity expressed in terms of the critical Gaussian multiplicative chaos. This could be seen as a first rigorous step in the renormalization theory of super-critical Gaussian multiplicative chaos.
Keywords
Cite
@article{arxiv.1310.5574,
title = {Glassy phase and freezing of log-correlated Gaussian potentials},
author = {Thomas Madaule and Rémi Rhodes and Vincent Vargas},
journal= {arXiv preprint arXiv:1310.5574},
year = {2013}
}
Comments
37 pages