The uniqueness condition for a weakly periodic Gibbs measure for the hard-core model

DOI10.1007/s11232-012-0120-8zbMath1282.82017OpenAlexW1991238278MaRDI QIDQ394876

R. M. Khakimov, Utkir A. Rozikov

Publication date: 28 January 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-012-0120-8

zbMATH Keywords

configurationCayley treeGibbs measurehard-core modelperiodic measureweakly periodic measure

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Gibbs measures for fertile hard-core models on the Cayley tree ⋮ Weakly periodic Gibbs measures for HC-models on Cayley trees ⋮ Weakly periodic Gibbs measures in the HC-model for a normal divisor of index four ⋮ Gibbs periodic measures for a two-state HC-model on a Cayley tree ⋮ Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model ⋮ Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree

Cites Work

• Countable state space Markov random fields and Markov chains on trees
• A hard-core model on a Cayley tree: an example of a loss network
• Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
• Description of weakly periodic Gibbs measures for the Ising model on a Cayley tree
• Fertile HC models with three states on a Cayley tree
• On Ising model with four competing interactions on Cayley tree
• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• Partition structures of the group representation of the Cayley tree into cosets by finite-index normal subgroups and their applications to the description of periodic Gibbs distributions
• On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice.
• On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II
• On Pure Phases of the Ising Model on the Bethe Lattices
• Gibbs States on Countable Sets
• GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE
• A Three State Hard-Core Model on a Cayley Tree

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