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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 1, Pages 138–147
DOI: https://doi.org/10.4213/tvp4016 (Mi tvp4016) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Short Communications

Analysis of a Finite-Velocity Planar Random Motion with Reflection

A. D. Kolesnika, E. Orsingherb

a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
b Dipartimento di Statistica, Probabilità e Statistiche Applicate, Università di Roma la Sapienza
Full-text PDF (1294 kB) Citations (13)
DOI: https://doi.org/10.4213/tvp4016
Abstract: A four-direction planar random motion with finite velocity and with possible reflections at Poisson-paced events is examined. We obtain the equations governing the distributions within the diffusion set $Q_t$ and the equations directing the singular components of the distributions. The distributions on the edge of $Q_t$ and its diagonals are explicitly obtained.
Keywords: planar random motions, finite velocity, Bessel functions, hyperbolic equations, telegraph equations.
Received: 17.09.1999
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 1, Pages 132–140
DOI: https://doi.org/10.1137/S0040585X97978774
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. D. Kolesnik, E. Orsingher, “Analysis of a Finite-Velocity Planar Random Motion with Reflection”, Teor. Veroyatnost. i Primenen., 46:1 (2001), 138–147; Theory Probab. Appl., 46:1 (2002), 132–140
Citation in format AMSBIB
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\paper Analysis of a Finite-Velocity Planar Random Motion with Reflection
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\pages 138--147
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 1
\pages 132--140
\crossref{https://doi.org/10.1137/S0040585X97978774}
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  • https://doi.org/10.4213/tvp4016
  • https://www.mathnet.ru/eng/tvp/v46/i1/p138
    • This publication is cited in the following 13 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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