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

F. H. HaydarovNational University of Uzbekistan, Tashkent, UzbekistanRustam KhakimovInstitute of Mathematics, National University of Uzbekistan, 29, Do'rmon Yo'li str., 100125, Tashkent, Uzbekistan
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Аннотация

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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