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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,…,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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\pages 94--101
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  • https://doi.org/10.4213/mzm407
  • https://www.mathnet.ru/eng/mzm/v72/i1/p94
    • This publication is cited in the following 1 articles:
    1. A. A. Filchenkov, “Mery istinnosti i veroyatnostnye graficheskie modeli dlya predstavleniya znanii s neopredelennostyu”, Tr. SPIIRAN, 23 (2012), 254–295  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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