English

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

Probability 2013-01-03 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1301.0113,
  title  = {Perfect simulation for the infinite random cluster model, Ising and Potts models at low or high temperature},
  author = {Emilio De Santis and Andrea Maffei},
  journal= {arXiv preprint arXiv:1301.0113},
  year   = {2013}
}

Comments

17 pages

R2 v1 2026-06-21T23:02:39.089Z