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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 3, Pages 515–523
DOI: https://doi.org/10.4213/tmf201 (Mi tmf201) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Periodic Gibbs Measures for the Ising Model with Competing Interactions

Kh. A. Nazarova, U. A. Rozikovb

a Samarkand State Institute of Architecture and Construction
b Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (196 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf201
Abstract: For the Ising model with competing interactions on the second-order Cayley tree, we find the operator corresponding to the periodic Gibbs distributions with period two and determine the invariant subsets of this operator, which are used to describe the periodic Gibbs distributions.
Keywords: Cayley tree, configuration, limit Gibbs measure, periodic Gibbs measure.
Received: 22.05.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 3, Pages 881–888
DOI: https://doi.org/10.1023/A:1024091206594
Bibliographic databases:
Language: Russian
Citation: Kh. A. Nazarov, U. A. Rozikov, “Periodic Gibbs Measures for the Ising Model with Competing Interactions”, TMF, 135:3 (2003), 515–523; Theoret. and Math. Phys., 135:3 (2003), 881–888
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 881--888
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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