On $p$ -state $p$ -adic Potts model on a Cayley tree

preprint2014arXivOpen access

This work is devoted to description of all translation-invariant $p$ -adic Gibbs measures for the $q$ -state Potts model on a Cayley tree. In particular for the Cayley tree of order three we give exact number of such measures.

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On $p$ -state $p$ -adic Potts model on a Cayley tree

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On ppp-state ppp-adic Potts model on a Cayley tree

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On $p$ -state $p$ -adic Potts model on a Cayley tree