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

preprint2020arXivOpen access

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>βcβ>β_c.

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