Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (3)
- Authors
- Khakimov, Rustamjon M.
- Contact information
- Khakimov, Rustamjon M.:Institute of Mathematics, National University of Uzbekistan, Do’rmon Yo’li, 29, Tashkent, 100125, Uzbekistan;
- Keywords
- Cayley tree; configuration; Potts model; Gibbs measure; periodic Gibbs measures; translation-invariant measures
- Abstract
In this paper under some conditions on parameters of the q-state Potts model on a Cayley tree of order k we prove existence of the periodic (non translation-invariant) Gibbs measures. Also we give a result about the number of such measures
- Pages
- 297–304
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/13267
Journal of Siberian Federal University. Mathematics & Physics / New Periodic Gibbs Measures for q-state Potts Model on a Cayley Tree
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