Coexistence of localized Gibbs measures and delocalized gradient Gibbs measures on trees

DOI10.1214/20-AAP1647zbMath1480.82008arXiv2002.09363OpenAlexW3210182445MaRDI QIDQ2240885

Florian Henning, Christof Külske

Publication date: 4 November 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09363

zbMATH Keywords

localizationregular treeGibbs measuresdelocalizationgradient Gibbs measures

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (9)

A HC model with countable set of spin values: Uncountable set of Gibbs measures ⋮ Mirror symmetry of height-periodic gradient Gibbs measures of an SOS model on Cayley trees ⋮ Gibbs measures for HC-model with a cuountable set of spin values on a Cayley tree ⋮ Existence of gradient Gibbs measures on regular trees which are not translation invariant ⋮ Gradient Gibbs measures of an SOS model with alternating magnetism on Cayley trees ⋮ Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees ⋮ Fixed points of an infinite dimensional operator related to Gibbs measures ⋮ Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws ⋮ Invariance property on group representations of the Cayley tree and its applications

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