Gibbs measures of Potts model on Cayley trees: A survey and applications
U. A. Rozikov
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.
Topics & Concepts
Potts modelBernoulli's principleCayley graphFlocking (texture)SortingChiral Potts curveStatistical physicsGibbs samplingMathematicsComputer scienceCombinatoricsArtificial intelligencePhysicsAlgorithmGraphThermodynamicsBayesian probabilityIsing modelQuantum mechanicsTheoretical and Computational PhysicsStochastic processes and statistical mechanicsMathematical Dynamics and Fractals