Mathematics > Probability
[Submitted on 6 Jun 2023
]
Title: New class of Gibbs measures for two state Hard-Core model on a Cayley tree
Title: 两状态硬核模型在Cayley树上的新一类Gibbs测度
Abstract: In this paper, we consider a Hard-Core $(HC)$ 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.
Submission history
From: Farhod Halimjonovich Haydarov [view email][v1] Tue, 6 Jun 2023 06:06:49 UTC (887 KB)
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