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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 3, Pages 580–593 (Mi tvp3077)  

This article is cited in 2 scientific papers (total in 2 papers)

On a local limit theorem for a class of random point fields appearing in quantum statistical mechanics

Yu. R. Dašyan

Institute of Mathematics, Academy of Sciences of ArmSSR, Yerevan
Full-text PDF (855 kB) Citations (2)
Abstract: A local limit theorem is proved for a class of marked random point fields which appear in quantum statistical mechanics. This allows us to prove the equivalence of the canonical and grand canonical Gibbs'ensembles for infinite quantum systems with small densities.
Received: 15.11.1976
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 3, Pages 559–572
DOI: https://doi.org/10.1137/1123064
Bibliographic databases:
Language: Russian
Citation: Yu. R. Dašyan, “On a local limit theorem for a class of random point fields appearing in quantum statistical mechanics”, Teor. Veroyatnost. i Primenen., 23:3 (1978), 580–593; Theory Probab. Appl., 23:3 (1979), 559–572
Citation in format AMSBIB
\Bibitem{Das78}
\by Yu.~R.~Da{\v s}yan
\paper On a~local limit theorem for a~class of random point fields appearing in quantum statistical mechanics
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 3
\pages 580--593
\mathnet{http://mi.mathnet.ru/tvp3077}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509731}
\zmath{https://zbmath.org/?q=an:0388.60099}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 3
\pages 559--572
\crossref{https://doi.org/10.1137/1123064}
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  • https://www.mathnet.ru/eng/tvp/v23/i3/p580
  • This publication is cited in the following 2 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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