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Matematicheskie Zametki, 2005, Volume 78, Issue 6, Pages 870–877
DOI: https://doi.org/10.4213/mzm2659 (Mi mzm2659) 		 
This article is cited in 43 scientific papers (total in 43 papers)

On a General Theorem of Set Theory Leading to the Gibbs, Bose–Einstein, and Pareto Distributions as well as to the Zipf–Mandelbrot Law for the Stock Market

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (181 kB) Citations (43)
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DOI: https://doi.org/10.4213/mzm2659
Abstract: The notion of density of a finite set is introduced. We prove a general theorem of set theory which refines the Gibbs, Bose–Einstein, and Pareto distributions as well as the Zipf law.
Received: 21.10.2005
English version:
Mathematical Notes, 2005, Volume 78, Issue 6, Pages 807–813
DOI: https://doi.org/10.1007/s11006-005-0186-9
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. P. Maslov, “On a General Theorem of Set Theory Leading to the Gibbs, Bose–Einstein, and Pareto Distributions as well as to the Zipf–Mandelbrot Law for the Stock Market”, Mat. Zametki, 78:6 (2005), 870–877; Math. Notes, 78:6 (2005), 807–813
Citation in format AMSBIB
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    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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