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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 4, Pages 816–826
DOI: https://doi.org/10.4213/tvp200 (Mi tvp200) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Absolute continuity between a Gibbs measure and its translate

E. Nowak

University of Sciences and Technologies
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DOI: https://doi.org/10.4213/tvp200
Abstract: We look for an overestimation of the distance in total variation between a Gibbs measure on $R^{Z^d}$ and its translate by a vector of this space. This can be done thanks to a control of the interdependence between the spins at distinct sites, i.e., prescribing some restrictions for the associated potential. We can then conclude, for precise cases, with the equivalence of the initial measure and its translate.
Keywords: random fields, distance in total variation, Gibbs measures, equivalence of measures.
Received: 27.07.2000
Revised: 29.08.2002
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 4, Pages 713–724
DOI: https://doi.org/10.1137/S0040585X97981421
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. Nowak, “Absolute continuity between a Gibbs measure and its translate”, Teor. Veroyatnost. i Primenen., 49:4 (2004), 816–826; Theory Probab. Appl., 49:4 (2005), 713–724
Citation in format AMSBIB
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\by E.~Nowak
\paper Absolute continuity between a Gibbs measure
and its translate
\jour Teor. Veroyatnost. i Primenen.
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\vol 49
\issue 4
\pages 816--826
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2144254}
\zmath{https://zbmath.org/?q=an:1093.60006}
\transl
\jour Theory Probab. Appl.
\yr 2005
\vol 49
\issue 4
\pages 713--724
\crossref{https://doi.org/10.1137/S0040585X97981421}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000234407500012}
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  • https://www.mathnet.ru/eng/tvp200
  • https://doi.org/10.4213/tvp200
  • https://www.mathnet.ru/eng/tvp/v49/i4/p816
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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