English

The Potts and random-cluster models

Combinatorics 2014-12-09 v1 Probability

Abstract

This is a short account of connections between the Tutte polynomial and the Ising, Potts, and random-cluster models. The four principal elements are the Ising model of 1925, the Tutte polynomial of 1947, the Potts model of 1952, and the random-cluster model of 1972.

Cite

@article{arxiv.1412.2522,
  title  = {The Potts and random-cluster models},
  author = {Geoffrey R. Grimmett},
  journal= {arXiv preprint arXiv:1412.2522},
  year   = {2014}
}
R2 v1 2026-06-22T07:23:24.228Z