Bayesian probability

Combinatorics

Cayley graph

Physics

Graph

Gibbs sampling

Mathematics

Sorting

Algorithm

Statistical physics

Chiral Potts curve

Bernoulli's principle

Artificial intelligence

Computer science

Ising model

Quantum mechanics

Flocking (texture)

Potts model

Thermodynamics

Reviews in Mathematical Physics

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.

Gibbs measures of Potts model on Cayley trees: A survey and applications