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Matematicheskie Zametki, 2002, Volume 72, Issue 1, Pages 94–101
DOI: https://doi.org/10.4213/mzm407 (Mi mzm407) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Gibbs Measures and Markov Random Fields with Association $I$

A. M. Rakhmatullaev, U. A. Rozikov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Full-text PDF (200 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm407
Abstract: We introduce the notions of a Gibbs measure with the corresponding potential with association $I$ (where $I$ is a subset of the set $\{1,2,\dots ,k\}$) of a Markov random field with memory $I$ and measure with association $I$. It is proved that these three notions are equivalent.
Received: 29.01.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 1, Pages 83–89
DOI: https://doi.org/10.1023/A:1019821222202
Bibliographic databases:
UDC: 517.98+530.1
Language: Russian
Citation: A. M. Rakhmatullaev, U. A. Rozikov, “Gibbs Measures and Markov Random Fields with Association $I$”, Mat. Zametki, 72:1 (2002), 94–101; Math. Notes, 72:1 (2002), 83–89
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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