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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 3, Pages 412–424
DOI: https://doi.org/10.4213/tmf6256 (Mi tmf6256) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Fertile HC models with three states on a Cayley tree

U. A. Rozikovab, Sh. A. Shoyusupova

a Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
b GC University, Abdus Salam School of Mathematical Sciences
Full-text PDF (484 kB) Citations (23)
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DOI: https://doi.org/10.4213/tmf6256
Abstract: We consider fertile hard-core (HC) models with three states on a homogeneous Cayley tree. It is known that four types of such models exist. For these models, we describe the translation-invariant and periodic HC Gibbs measures. We also construct a uncountable set of nonperiodic Gibbs measures.
Keywords: Cayley tree, configuration, HC model, Gibbs measure.
Received: 10.07.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 3, Pages 1319–1330
DOI: https://doi.org/10.1007/s11232-008-0109-5
Bibliographic databases:
Language: Russian
Citation: U. A. Rozikov, Sh. A. Shoyusupov, “Fertile HC models with three states on a Cayley tree”, TMF, 156:3 (2008), 412–424; Theoret. and Math. Phys., 156:3 (2008), 1319–1330
Citation in format AMSBIB
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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