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Teoriya Veroyatnostei i ee Primeneniya, 1982, Volume 27, Issue 1, Pages 182–187 (Mi tvp2284)  
Short Communications

Central limit theorem for hierarchical Dyson's model with small $\beta$

A. Naimžanov

Moscow
Full-text PDF (380 kB)
Abstract: It is shown that the central limit theorem holds for the average spin in the infinite hierarhical Dyson's model with small $\beta$. This result implies the equivalence of canonical and grand canonical ansambles.
Received: 09.04.1980
English version:
Theory of Probability and its Applications, 1982, Volume 27, Issue 1, Pages 191–196
DOI: https://doi.org/10.1137/1127020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Naimžanov, “Central limit theorem for hierarchical Dyson's model with small $\beta$”, Teor. Veroyatnost. i Primenen., 27:1 (1982), 182–187; Theory Probab. Appl., 27:1 (1982), 191–196
Citation in format AMSBIB
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\paper Central limit theorem for hierarchical Dyson's model with small $\beta$
\jour Teor. Veroyatnost. i Primenen.
\yr 1982
\vol 27
\issue 1
\pages 182--187
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\transl
\jour Theory Probab. Appl.
\yr 1982
\vol 27
\issue 1
\pages 191--196
\crossref{https://doi.org/10.1137/1127020}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983QB14800020}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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