Analysis of a Finite-Velocity Planar Random Motion with Reflection
Authors:
- A. D. KolesnikAKA. D. Kolesnik
- E. OrsingherEOE. Orsingher
- 1 January 2002
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in Theory of Probability & Its Applications
- Vol. 46 (1) , 132-140
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
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