Potts model on a Cayley tree: a new class of Gibbs measures

We obtain a wide class of new Gibbs measures for the Potts model on a Cayley tree. We present a review of known Gibbs measures of the Potts model on trees, which we compare with our new measures.

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Veröffentlicht in:Theoretical and mathematical physics 2023-04, Vol.215 (1), p.586-597
Hauptverfasser: Rakhmatullaev, M. M., Dehkonov, J. D.
Format: Artikel
Sprache:eng
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Zusammenfassung:We obtain a wide class of new Gibbs measures for the Potts model on a Cayley tree. We present a review of known Gibbs measures of the Potts model on trees, which we compare with our new measures.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577923040086