The purpose of this review paper is to present systematically all known results on Gibbs
measures on Cayley trees (Bethe lattices). There are about 150 papers which contain …

For the solid-on-solid model with spin values from the set of all integers on a Cayley tree we
give gradient Gibbs measures (GGMs). Such a measure corresponds to a boundary law …

We study Gibbs measures for the HC model with a countable set of spin values and a
countable set of parameters (ie, with the activity function,) in the case of a “wand”-type graph …

In this paper we consider a model with nearest-neighbor interactions and with the set 0, 1 of
spin values, on the Cayley tree of order two. Translational-invariant Gibbs measures for the …

We consider models with nearest-neighbor interactions and with the set [0, 1] of spin values,
on a Cayley tree of order k≥ 1. We show that periodic Gibbs measures are either translation …

We consider models with four competing interactions (external field, nearest neighbor,
second neighbor, and three neighbors) and an uncountable set [0, 1] of spin values on the …

We consider a ferromagnetic nearest-neighbor model on a Cayley tree of degree k≥ 2
k\geqslant2 with uncountable local state space 0, 1 where the energy function depends on a …

Uniqueness of Gibbs Measures for an Ising Model with Continuous Spin Values on a Cayley
Tree - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

On the set of Gibbs measures for model with a countable set of spin values on Cayley trees |
Positivity Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …

In this paper we consider a model with nearest-neighbor interactions and with the set [0, 1]
of spin values, on a Cayley tree of order k≥ 2. To study translation-invariant Gibbs …