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arXiv:2103.07391 [math.PR]AbstractReferencesReviewsResources

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

U. A. Rozikov

Published 2021-03-12Version 1

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.

Comments: 49 pages, 13 figures
Categories: math.PR, math-ph, math.MP
Subjects: 82B20, 82B26
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