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Matematicheskie Zametki, 2016, Volume 99, Issue 1, paper published in the English version journal
DOI: https://doi.org/10.1134/S0001434616010107 (Mi mzm11089) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Papers published in the English version of the journal

On the Rate of Convergence to the Bose–Einstein Distribution

V. P. Maslovab, V. E. Nazaikinskiibc

a National Research University Higher School of Economics, Moscow, Russia
b Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
c Moscow Institute of Physics and Technology (State University), Moscow, Russia
Citations (13)
DOI: https://doi.org/10.1134/S0001434616010107
Abstract: For a system of identical Bose particles sitting at integer energy levels with the probabilities of microstates given by a multiplicative measure with $\ge2$ degrees of freedom, we estimate the probability of the sequence of occupation numbers to be close to the Bose–Einstein distribution as the total energy tends to infinity. We show that a convergence result earlier proved by A. M. Vershik [Functional Anal. Appl. 30 (2), 95–105 (1996)] is a corollary of our theorems.
Keywords: Bose–Einstein distribution, multiplicative measure, convergence, cumulative distribution, limit distribution.
Received: 22.01.2016
English version:
Mathematical Notes, 2016, Volume 99, Issue 1, Pages 95–109
DOI: https://doi.org/10.1134/S0001434616010107
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. P. Maslov, V. E. Nazaikinskii, “On the Rate of Convergence to the Bose–Einstein Distribution”, Math. Notes, 99:1 (2016), 95–109
Citation in format AMSBIB
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\by V.~P.~Maslov, V.~E.~Nazaikinskii
\paper On the Rate of Convergence to the Bose--Einstein Distribution
\jour Math. Notes
\yr 2016
\vol 99
\issue 1
\pages 95--109
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\crossref{https://doi.org/10.1134/S0001434616010107}
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  • https://doi.org/10.1134/S0001434616010107
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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