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

A lot of nonlinear operators are connected with problems in statistical physics, biology,
thermodynamics, statistical mechanics and so on. One of the central problem in statistical …

We study Gibbs distributions of spins taking values in a general compact Polish space,
interacting via a pair potential along the edges of a generalized random graph with a given …

The paper deals with the problem of constructing kernels of Hammerstein-type equations
whose positive solutions are not unique. This problem arises from the theory of Gibbs …

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 two. This model depends on two parameters n …

Рассмотрены модели с четырьмя конкурирующими взаимодействиями (с внешним
полем, с взаимодействиями ближайшего соседа, вторых ближайших соседей, трех …

In this paper we complete the analysis of a statistical mechanics model on Cayley trees of
any degree, started in Botirov (Positivity 21 (3): 955–961, 2017), Eshkabilov et al.(J Stat …

In this paper, we shall discuss the construction of Gibbs measures for models with
uncountable set of spin values on Cayley trees. It is known that" translation-invariant Gibbs …

This thesis focuses on periodic Gibbs measures with period two for models that have a
continuum set of spin values on Cayley trees. ґ A Cayley tree Γk=(V, L) of order k≥ 1 is an …