Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree

DOI10.1134/S0040577923020113MaRDI QIDQ6487840

Golibjon Isroilovich Botirov, Z. E. Mustafoeva

Publication date: 7 March 2023

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree
• Phase diagram of the three states Potts model with next nearest neighbour interactions on the Bethe lattice
• On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
• Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree
• Translation invariance of the periodic Gibbs measures for the Potts model on the Cayley tree
• The Potts model with countable set of spin values on a Cayley tree
• Potts model with competing interactions on the Cayley tree: The contour method
• On Pure Phases of the Ising Model on the Bethe Lattices
• The Potts model on Zd with countable set of spin values

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