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Theory Stoch. Process., 2009, Volume 15(31), Issue 1, Pages 33–39 (Mi thsp109)  

The explicit probability distribution of a six-dimensional random flight

Alexander. D. Kolesnik

Institute of Mathematics and Computer Science, Academy Street 5, MD-2028 Kishinev, Moldova

Abstract: We consider the symmetric random motion with finite speed $X(t)$ in the Euclidean space ${\mathbb R}^6$ subject to the control of a homogeneous Poisson process. The explicit probability distribution of $X(t)$, $t > 0$, is obtained.

Keywords: Random motion, random flight, transport process, random evolution, finite speed, explicit probability distribution.

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Bibliographic databases:

Document Type: Article
MSC: Primary 82C70; Secondary 82B41, 82C41, 60K35, 60K37, 60H30
Language: English

Citation: Alexander. D. Kolesnik, “The explicit probability distribution of a six-dimensional random flight”, Theory Stoch. Process., 15(31):1 (2009), 33–39

Citation in format AMSBIB
\Bibitem{Kol09}
\by Alexander.~D.~Kolesnik
\paper The explicit probability distribution of a six-dimensional random flight
\jour Theory Stoch. Process.
\yr 2009
\vol 15(31)
\issue 1
\pages 33--39
\mathnet{http://mi.mathnet.ru/thsp109}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2603168}


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  • http://mi.mathnet.ru/eng/thsp/v15/i1/p33

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