Localization of translation-invariant Gibbs measures for the Potts and ``solid-on-solid models on a Cayley tree

DOI10.1007/s11232-014-0152-3zbMath1298.82012OpenAlexW2022004417MaRDI QIDQ461615

R. M. Khakimov

Publication date: 13 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-014-0152-3

zbMATH Keywords

configurationCayley treeGibbs measurePotts modeltranslation-invariant measureperiodic measure``solid-on-solid model

Mathematics Subject Classification ID

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

Related Items (1)

Gibbs measures for the three-state SOS model with external field on a Cayley tree

Cites Work

• Random surfaces with two-sided constraints: An application of the theory of dominant ground states
• Metastability in the Potts model on the Cayley tree
• Description of periodic extreme Gibbs measures of some lattice models on the Cayley tree
• The Potts model with countable set of spin values on a Cayley tree
• Periodic Gibbs measures for the Potts model on the Cayley tree
• Gibbs Measures on Cayley Trees
• Gibbs States on Countable Sets
• New order parameters in the Potts model on a Cayley tree
• GIBBS MEASURES FOR SOS MODELS ON A CAYLEY TREE

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