Short proof of the sharpness of the phase transition for the random-cluster model with $q=2$
Probability
2020-12-08 v1 Mathematical Physics
math.MP
Abstract
The purpose of this modest note is to provide a short proof of the sharpness of the phase transition for the Random-cluster model with by extending the approach developed by Duminil-Copin and Tassion for . This in particular implies the exponential decay of the two point-correlation function in the subcritical Ising model.
Keywords
Cite
@article{arxiv.2012.03276,
title = {Short proof of the sharpness of the phase transition for the random-cluster model with $q=2$},
author = {Yacine Aoun},
journal= {arXiv preprint arXiv:2012.03276},
year = {2020}
}