Probabilistic Cellular Automata for low temperature Ising model
Mathematical Physics
2016-12-21 v2 math.MP
Abstract
We construct a parallel stochastic dynamics with invariant measure converging to the Gibbs measure of the low temperature Ising model. The proof of such convergence requires a polymer expansion based on suitably defined Peierls-type contours.
Keywords
Cite
@article{arxiv.1606.03638,
title = {Probabilistic Cellular Automata for low temperature Ising model},
author = {Aldo Procacci and Benedetto Scoppola and Elisabetta Scoppola},
journal= {arXiv preprint arXiv:1606.03638},
year = {2016}
}