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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 3, Pages 497–512 (Mi tmf1482)  
Estimate of convergence rate in local limit theorem for the particle number in spin systems

B. S. Nakhapetian, S. K. Pogosyan

Institute of Mathematics, National Academy of Sciences of Armenia
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Abstract: For classical lattice spin systems with vacuum it is obtained an estimate of the convergence rate in the local limit theorem for the number of particles in a region $\Lambda$. The estimate has an order of the square root of the volume $\Lambda$.
Received: 28.05.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 95, Issue 3, Pages 738–747
DOI: https://doi.org/10.1007/BF01017519
Bibliographic databases:
Language: Russian
Citation: B. S. Nakhapetian, S. K. Pogosyan, “Estimate of convergence rate in local limit theorem for the particle number in spin systems”, TMF, 95:3 (1993), 497–512; Theoret. and Math. Phys., 95:3 (1993), 738–747
Citation in format AMSBIB
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\by B.~S.~Nakhapetian, S.~K.~Pogosyan
\paper Estimate of convergence rate in local limit theorem for the particle number in spin systems
\jour TMF
\yr 1993
\vol 95
\issue 3
\pages 497--512
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243409}
\zmath{https://zbmath.org/?q=an:0852.60107}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 3
\pages 738--747
\crossref{https://doi.org/10.1007/BF01017519}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993ML77300007}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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