Anisotropic Ising Model with Countable Set of Spin Values on Cayley Tree

DOI10.17516/1997-1397-2017-10-3-305-309OpenAlexW2738235057MaRDI QIDQ5853125

Golibjon Isroilovich Botirov

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu557

zbMATH Keywords

functional equationsIsing modelCayley treeGibbs measurescompatibility of distributions measures

Mathematics Subject Classification ID

Combinatorics (05-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

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Cites Work

• Phase transitions for a model with uncountable set of spin values on a Cayley tree
• Non-uniqueness of Gibbs measure for models with uncountable set of spin values on a Cayley tree
• The Potts model with countable set of spin values on a Cayley tree
• Gibbs States on Countable Sets
• The Potts model on Zd with countable set of spin values

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