New class of Gibbs measures for two state Hard-Core model on a Cayley tree
Probability
2023-06-07 v1 Functional Analysis
Abstract
In this paper, we consider a Hard-Core model with two spin values on Cayley trees. The conception of alternative Gibbs measure is introduced and translational invariance conditions for alternative Gibbs measures are found. Also, we show that the existence of alternative Gibbs measures which are not translation-invariant. In addition, we study free energy of the model.
Cite
@article{arxiv.2306.03429,
title = {New class of Gibbs measures for two state Hard-Core model on a Cayley tree},
author = {R. M. Khakimov and M T. Makhammadaliev and F. H. Haydarov},
journal= {arXiv preprint arXiv:2306.03429},
year = {2023}
}