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Teoriya Veroyatnostei i ee Primeneniya, 1959, Volume 4, Issue 4, Pages 424–432 (Mi tvp4901)  
This article is cited in 76 scientific papers (total in 76 papers)

Short Communications

Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane

M. E. Gertsenshteina, V. B. Vasil'ev (Vasilyev)

a Moscow
Full-text PDF (1053 kB) Citations (76)
Abstract: It has been shown that the probability density for the continuous random process of the resultant of independent values which are summed up according to the linear-fractional law satisfies the diffusion equation in the Lobachevsky plane. Green’s function of the diffusion equation, which apparently is a new distribution, has been found.
Received: 25.12.1958
English version:
Theory of Probability and its Applications, 1959, Volume 4, Issue 4, Pages 391–398
DOI: https://doi.org/10.1137/1104038
Document Type: Article
Language: Russian
Citation: M. E. Gertsenshtein, V. B. Vasil'ev (Vasilyev), “Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane”, Teor. Veroyatnost. i Primenen., 4:4 (1959), 424–432; Theory Probab. Appl., 4:4 (1959), 391–398
Citation in format AMSBIB
\Bibitem{Ger59}
\by M.~E.~Gertsenshtein, V.~B.~Vasil'ev~(Vasilyev)
\paper Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane
\jour Teor. Veroyatnost. i Primenen.
\yr 1959
\vol 4
\issue 4
\pages 424--432
\mathnet{http://mi.mathnet.ru/tvp4901}
\transl
\jour Theory Probab. Appl.
\yr 1959
\vol 4
\issue 4
\pages 391--398
\crossref{https://doi.org/10.1137/1104038}
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  • https://www.mathnet.ru/eng/tvp/v4/i4/p424
    Erratum
    This publication is cited in the following 76 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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