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Matematicheskie Zametki, 2008, Volume 83, Issue 3, Pages 381–401
DOI: https://doi.org/10.4213/mzm4526 (Mi mzm4526) 		 
This article is cited in 35 scientific papers (total in 35 papers)

On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II

V. P. Maslova, V. E. Nazaikinskiib

a M. V. Lomonosov Moscow State University, Faculty of Physics
b A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
Full-text PDF (589 kB) Citations (35)
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DOI: https://doi.org/10.4213/mzm4526
Abstract: We continue our study of the problem on the allocation of indistinguishable particles to integer energy levels under the condition that the total energy of the system is bounded above. It is shown that the Bose condensation phenomenon can occur in this model. Systems of dimension $d<1$ (including negative dimensions) are studied.
Keywords: Bose-Einstein statistics, Bose condensate, system of negative dimension, cumulative distribution, convergence, limit distribution.
Received: 07.02.2008
English version:
Mathematical Notes, 2008, Volume 83, Issue 3, Pages 345–363
DOI: https://doi.org/10.1134/S0001434608030061
Bibliographic databases:
UDC: 519.2+531.19
Language: Russian
Citation: V. P. Maslov, V. E. Nazaikinskii, “On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II”, Mat. Zametki, 83:3 (2008), 381–401; Math. Notes, 83:3 (2008), 345–363
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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