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of 107
pro vyhledávání: '"Khakimov, R. M."'
Autor:
Khakimov, R. M., Makhammadaliev, M. T.
In this paper, we study the Hard Core (HC) model with a countable set $\mathbb Z$ of spin values on a Cayley tree of order $k=2$. This model is defined by a countable set of parameters (that is, the activity function $\lambda_i>0$, $i\in \mathbb Z$).
Externí odkaz:
http://arxiv.org/abs/2310.12602
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 t
Externí odkaz:
http://arxiv.org/abs/2306.03429
In this paper, we study the HC-model with a countable set $\mathbb Z$ of spin values on a Cayley tree of order $k\geq 2$. This model is defined by a countable set of parameters (that is, the activity function $\lambda_i>0$, $i\in \mathbb Z$). A funct
Externí odkaz:
http://arxiv.org/abs/2205.02025
Autor:
Khakimov, R. M., Umirzakova, K. O.
We consider fertile three-state hard core models with the activity parameter on an order-three Cayley tree. It is known that there exist four types of such models: in two of them the regions of extremality of the unique translation-invariant Gibbs me
Externí odkaz:
http://arxiv.org/abs/2008.02162
Autor:
Khakimov, R. M., Umirzakova, K. O.
We consider fertile three-state Hard-Core (HC) models with the activity parameter $\lambda>0$ on a Cayley tree. It is known that there exist four types of such models: wrench, wand, hinge, and pipe. These models arise as simple examples of loss netwo
Externí odkaz:
http://arxiv.org/abs/2007.14611
In this paper we study Hard-Core model on a Cayley tree. For a normal divisor of index four new conditions for uniqueness and non-uniqueness of weakly periodic Gibbs measures are found.
Comment: in Russian
Comment: in Russian
Externí odkaz:
http://arxiv.org/abs/1910.11772
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Autor:
Khakimov, R. M., Madgoziyev, G. T.
In this paper we study two and three state HC-model on a Cayley tree. Under some conditions on parameters of the HC-model, in the case of normal divisor of the index four, we prove the existence of the weakly periodic (non periodic) Gibbs measures wh
Externí odkaz:
http://arxiv.org/abs/1706.05949
Akademický článek
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Autor:
Rozikov, U. A., Khakimov, R. M.
In this paper we study the extremality of translation-invariant Gibbs measure for the HC-model on a Cayley tree. It is known that for this model the translation-invariant measure is unique. We give a new proof of this statement and found regions of t
Externí odkaz:
http://arxiv.org/abs/1610.04755