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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 2, Pages 373–383
DOI: https://doi.org/10.4213/tvp773 (Mi tvp773) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An equation of the Kolmogorov–Feller type in a factorized probability space

V. P. Maslov, A. M. Chebotarev

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (572 kB) Citations (2)
DOI: https://doi.org/10.4213/tvp773
Abstract: Calculations of probabilities are considered in the products of separable probability spaces, factored with respect to the permutation group of factors, by means of the trace operation with respect to the symmetric and antisymmetric orthonormal bases. A nonlinear Kolmogorov–Feller type equation is deduced which is the image of the forward linear Kolmogorov–Feller equation under factorization of the initial probability space with respect to the permutation group with certain rules of superselection.
Keywords: nonlinear Kolmogorov–Feller type equations, factored probability spaces, symmetric functions, antisymmetric functions, boson, fermion, vacuum state.
Received: 04.02.1999
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 2, Pages 309–318
DOI: https://doi.org/10.1137/S0040585X97977586
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, A. M. Chebotarev, “An equation of the Kolmogorov–Feller type in a factorized probability space”, Teor. Veroyatnost. i Primenen., 44:2 (1999), 373–383; Theory Probab. Appl., 44:2 (2000), 309–318
Citation in format AMSBIB
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\paper An equation of the Kolmogorov--Feller type in a factorized probability space
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\issue 2
\pages 373--383
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\zmath{https://zbmath.org/?q=an:0973.60015}
\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 2
\pages 309--318
\crossref{https://doi.org/10.1137/S0040585X97977586}
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  • https://www.mathnet.ru/eng/tvp773
  • https://doi.org/10.4213/tvp773
  • https://www.mathnet.ru/eng/tvp/v44/i2/p373
    • This publication is cited in the following 2 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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