Slow decay of Gibbs measures with heavy tails
Probability
2008-11-18 v1 Mathematical Physics
Functional Analysis
math.MP
Abstract
We consider Glauber dynamics reversible with respect to Gibbs measures with heavy tails. Spins are unbounded. The interactions are bounded and finite range. The self potential enters into two classes of measures, -concave probability measure and sub-exponential laws, for which it is known that no exponential decay can occur. We prove, using coercive inequalities, that the associated infinite volume semi-group decay to equilibrium polynomially and stretched exponentially, respectively. Thus improving and extending previous results by Bobkov and Zegarlinski.
Keywords
Cite
@article{arxiv.0811.2733,
title = {Slow decay of Gibbs measures with heavy tails},
author = {Cyril Roberto},
journal= {arXiv preprint arXiv:0811.2733},
year = {2008}
}