Gibbs-non-Gibbs transitions via large deviations: computable examples
Probability
2012-12-05 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We give new and explicitly computable examples of Gibbs-non-Gibbs transitions of mean-field type, using the large deviation approach introduced in [4]. These examples include Brownian motion with small variance and related diffusion processes, such as the Ornstein-Uhlenbeck process, as well as birth and death processes. We show for a large class of initial measures and diffusive dynamics both short-time conservation of Gibbsianness and dynamical Gibbs-non-Gibbs transitions.
Cite
@article{arxiv.1202.4343,
title = {Gibbs-non-Gibbs transitions via large deviations: computable examples},
author = {Frank Redig and Feijia Wang},
journal= {arXiv preprint arXiv:1202.4343},
year = {2012}
}