Gibbs measures for the fertile three-state hard-core models on a Cayley tree

DOI10.1007/s11134-015-9450-1zbMath1369.82010OpenAlexW639522976MaRDI QIDQ499351

R. M. Khakimov, Utkir A. Rozikov

Publication date: 30 September 2015

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-015-9450-1

zbMATH Keywords

critical temperatureCayley treeGibbs measurereconstruction problemhard-core modelextreme measurefertile

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items

Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Weakly periodic Gibbs measures for HC-models on Cayley trees, Extremality of Gibbs measures for the \(HC\)-Blume-Capel model on the Cayley tree, Periodic Gibbs measures and their extremes for the HC-Blume-Capel model in the case of a ``wand on the Cayley tree, New class of Gibbs measures for two-state hard-core model on a Cayley tree, Translation-invariant extreme Gibbs measures for the Blume-Capel model withwand on a Cayley tree, Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model, Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order \(k=3\)

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