English

Weak mixing and analyticity in Random Cluster and low temperature Ising models

Mathematical Physics 2020-03-13 v1 math.MP Probability

Abstract

In this note we extend the analysis of a previous paper by the author to the Random Cluster model. The main result being that the pressure of the finite range ferromagnetic Ising model is analytic as a function of the inverse temperature in the regime h=0h=0, β>βc\beta>\beta_c.

Keywords

Cite

@article{arxiv.2003.05879,
  title  = {Weak mixing and analyticity in Random Cluster and low temperature Ising models},
  author = {Sébastien Ott},
  journal= {arXiv preprint arXiv:2003.05879},
  year   = {2020}
}
R2 v1 2026-06-23T14:13:02.182Z