2023/09/02 by F. H. Haydarov, Haydarov, F. H., R. A. Ilyasova +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2309.00867
openalex publication_date 2023/09/02 · openalex created_date 2023/09/09 · openalex updated_date 2026/07/28
We consider Gradient Gibbs measures corresponding to a periodic boundary law for a generalized SOS model with spin values from a countable set, on Cayley trees. On the Cayley tree, detailed information on Gradient Gibbs measures for models of SOS type are given in \cite3, 16,8,11 and we continue the works for the generalized SOS model. Namely, in this paper, the problem of finding Gradient Gibbs measures that correspond to periodic boundary laws is reduced to a functional equation and by solving the equation all Gradient Gibbs measures with 4 periodic boundary laws are found.