Gradient Gibbs measures and fuzzy transformations on trees

zbMath1391.82021arXiv1609.00159MaRDI QIDQ4641845

Christof Külske, Philipp Schriever

Publication date: 18 May 2018

Full work available at URL: https://arxiv.org/abs/1609.00159

zbMATH Keywords

treeGibbs measurefuzzy transformgradient Gibbs measurepinned gradient measure

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items

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, Non-robust phase transitions in the generalized clock model on trees, Fixed points of an infinite dimensional operator related to Gibbs measures, 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, Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws, Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree