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This article is cited in 10 scientific papers (total in 10 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
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
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
Linking options:
https://www.mathnet.ru/eng/tvp4016https://doi.org/10.4213/tvp4016 https://www.mathnet.ru/eng/tvp/v46/i1/p138
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