Gibbs measures of Potts model on Cayley trees: a survey and applications
U.A.Rozikov
TL;DR
This paper reviews the development of Gibbs measures for the Potts model on Cayley trees since 2013 and explores diverse applications across biology, physics, and social sciences.
Contribution
It provides a comprehensive survey of the theoretical advancements and demonstrates the model's wide-ranging practical applications.
Findings
Summarizes key theoretical results since 2013
Highlights applications in biology, physics, and social sciences
Connects Gibbs measures to real-world phenomena
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.
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