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

DOI10.1134/S0040577916020136zbMath1348.82020MaRDI QIDQ292829

R. M. Khakimov

Publication date: 9 June 2016

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

zbMATH Keywords

configurationCayley treeGibbs measurehard-core modelfertile graphtranslation-invariant measure

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Spaces of measures, convergence of measures (28A33)

Related Items (2)

Weakly periodic Gibbs measures for HC-models on Cayley trees ⋮ Phase transition for the Ising model with mixed spins on a Cayley tree

Cites Work

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• The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model
• Translation-invariant Gibbs measures for fertile three-state ``hard core models on a Cayley tree
• A hard-core model on a Cayley tree: an example of a loss network
• Fertile HC models with three states on a Cayley tree
• Loss networks
• Gibbs measures and phase transitions
• Random surfaces with two-sided constraints: An application of the theory of dominant ground states
• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• Graph homomorphisms and phase transitions
• Uniqueness of weakly periodic Gibbs measure for HC-models
• Gibbs Measures on Cayley Trees
• Gibbs States on Countable Sets
• Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes
• A Three State Hard-Core Model on a Cayley Tree

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