paper

Perfect simulation for the infinite random cluster model, Ising and Potts models at low or high temperature

arXiv:1301.0113

Abstract

In this article we create a new algorithm for the perfect simulation of the infinite Potts model at a sufficiently small or at a sufficiently high temperature, in particular under the transition phase temperature. We study the model for free boundary conditions and we give some consequences for the constant boundary conditions.

17 pages