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Teoriya Veroyatnostei i ee Primeneniya, 1969, Volume 14, Issue 1, Pages 127–130 (Mi tvp1123)  
This article is cited in 57 scientific papers (total in 57 papers)

Short Communications

Symmetric stable processes as traces of degenerate diffusion processes

S. A. Molchanov, E. Ostrovskii

Moscow
Full-text PDF (237 kB) Citations (57)
Abstract: In this article we show that symmetric stable processes may be considered as traces of diffusion processes of a special type (Bessel processes). This result generalizes the well-known theorem due to Spitzer concerning a similar representation of Cauchy processes.
Received: 27.02.1968
English version:
Theory of Probability and its Applications, 1969, Volume 14, Issue 1, Pages 128–131
DOI: https://doi.org/10.1137/1114012
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Molchanov, E. Ostrovskii, “Symmetric stable processes as traces of degenerate diffusion processes”, Teor. Veroyatnost. i Primenen., 14:1 (1969), 127–130; Theory Probab. Appl., 14:1 (1969), 128–131
Citation in format AMSBIB
\Bibitem{MolOst69}
\by S.~A.~Molchanov, E.~Ostrovskii
\paper Symmetric stable processes as traces of degenerate diffusion processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1969
\vol 14
\issue 1
\pages 127--130
\mathnet{http://mi.mathnet.ru/tvp1123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=247668}
\zmath{https://zbmath.org/?q=an:0281.60091|0238.60060}
\transl
\jour Theory Probab. Appl.
\yr 1969
\vol 14
\issue 1
\pages 128--131
\crossref{https://doi.org/10.1137/1114012}
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  • https://www.mathnet.ru/eng/tvp/v14/i1/p127
    • This publication is cited in the following 57 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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