Exponential convergence for the Fredrikson-Andersen one spin facilitated model
Probability
2016-09-07 v1
Abstract
We prove exponential convergence to equilibrium for the Fredrikson-Andersen one spin facilitated model on bounded degree graphs satisfying a subexponential, but larger than polynomial, growth condition. This was a classical conjecture related to non-attractive spin systems. Our proof rely on coupling techniques based on Harris graphical construction for interacting particle systems.
Cite
@article{arxiv.1609.01364,
title = {Exponential convergence for the Fredrikson-Andersen one spin facilitated model},
author = {Thomas Mountford and Glauco Valle},
journal= {arXiv preprint arXiv:1609.01364},
year = {2016}
}
Comments
22 pages