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The Potts model on Zd with countable set of spin values

Nasir GanikhodjaevDepartment of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, 700095, Tashkent, Uzbekistan
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The Potts model with countable set Φ of spin values on Zd is considered. It is proved that with respect to Poisson distribution on Φ the set of limiting Gibbs measures is not empty.

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