Fixed points of an infinite dimensional operator related to Gibbs measures

DOI10.1134/S0040577923020125arXiv2206.13822MaRDI QIDQ6403358

U. R. Olimov, Utkir A. Rozikov

Publication date: 28 June 2022

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree
• Countable state space Markov random fields and Markov chains on trees
• Localization and delocalization of random interfaces
• Gibbs measures and phase transitions
• Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
• Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields
• Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws
• Mirror symmetry of height-periodic gradient Gibbs measures of an SOS model on Cayley trees
• Coexistence of localized Gibbs measures and delocalized gradient Gibbs measures on trees
• Gradient Gibbs measures for the SOS model with countable values on a Cayley tree
• Phase coexistence of gradient Gibbs states
• Gibbs Measures on Cayley Trees
• Gradient Gibbs measures and fuzzy transformations on trees
• Gibbs Measures in Biology and Physics
• On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field
• Statistical Mechanics of Lattice Systems
• Existence of gradient Gibbs measures on regular trees which are not translation invariant

This page was built for publication: Fixed points of an infinite dimensional operator related to Gibbs measures