Gibbs measures of Potts model on Cayley trees: a survey and applications
Probability
2021-12-08 v1 Mathematical Physics
math.MP
Abstract
In this paper we give a systematic review of the theory of Gibbs measures of Potts model on Cayley trees (developed since 2013) and discuss many applications of the Potts model to real world situations: mainly biology, physics, and some examples of alloy behavior, cell sorting, financial engineering, flocking birds, flowing foams, image segmentation, medicine, sociology etc.
Keywords
Cite
@article{arxiv.2103.07391,
title = {Gibbs measures of Potts model on Cayley trees: a survey and applications},
author = {U. A. Rozikov},
journal= {arXiv preprint arXiv:2103.07391},
year = {2021}
}
Comments
49 pages, 13 figures