An improvement of extremality regions for Gibbs measures of the Potts model on a Cayley tree

We give a condition of extemelity for translation-invariant Gibbs measures of q-state Potts model on a Cayley tree. We'll improve the regions of extremality for some measures considered in [14]. Moreover, some results in [14] are generalized.

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Veröffentlicht in:Journal of physics. Conference series 2016-03, Vol.697 (1), p.12019
Hauptverfasser: Haydarov, Farhod, Khakimov, Rustam
Format: Artikel
Sprache:eng
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Zusammenfassung:We give a condition of extemelity for translation-invariant Gibbs measures of q-state Potts model on a Cayley tree. We'll improve the regions of extremality for some measures considered in [14]. Moreover, some results in [14] are generalized.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/697/1/012019