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

Authors :
Rozikov, U. A.
Source :
Reviews in Mathematical Physics. Nov2021, Vol. 33 Issue 10, p1-58. 58p.
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0129055X
Volume :
33
Issue :
10
Database :
Academic Search Index
Journal :
Reviews in Mathematical Physics
Publication Type :
Academic Journal
Accession number :
153820509
Full Text :
https://doi.org/10.1142/S0129055X21300077