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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 2, Pages 269–296
DOI: https://doi.org/10.4213/tvp219 (Mi tvp219) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Nonlinear financial averaging, the evolution process, and laws of econophysics

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (2396 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp219
Abstract: The similarities and differences between methods as well as results of financial mathematics and quantum statistics can be of use for both sciences. We consider a process that gives the Gibbs distribution and financial averaging in the limit. The laws of econophysics for buyers are studied, which result in “phase transitions” such as stock price breakouts or defaults. The Pareto and Gauss distributions are obtained for the income and expenditures of various social groups. The notion of turnover rate of capital for a quasi-stable state of society is introduced.
Keywords: evolution process, econophysics, Pareto distribution, information reduction, stock, finance.
Received: 23.04.2004
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 2, Pages 221–244
DOI: https://doi.org/10.1137/S0040585X97981019
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, “Nonlinear financial averaging, the evolution process, and laws of econophysics”, Teor. Veroyatnost. i Primenen., 49:2 (2004), 269–296; Theory Probab. Appl., 49:2 (2005), 221–244
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
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\pages 221--244
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  • https://www.mathnet.ru/eng/tvp219
  • https://doi.org/10.4213/tvp219
  • https://www.mathnet.ru/eng/tvp/v49/i2/p269
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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