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This article is cited in 13 scientific papers (total in 13 papers)
Random motion of particle in inhomogeneous 1D media with reflecting and absorbing barriers
N. E. Ratanov Chelyabinsk State University
Abstract:
A random motion in 1D inhomogeneous media is considered. A moving particle changes abruptly a direction of velocity at Poisson times. The backward and forward Kolmogorov's equations describing this motion are derived. The explicit formulas for the probability distributions are obtained both for this motion and for the similar motions with reflecting and absorbing barriers.
Received: 20.11.1996 Revised: 27.02.1997
Citation:
N. E. Ratanov, “Random motion of particle in inhomogeneous 1D media with reflecting and absorbing barriers”, TMF, 112:1 (1997), 81–91; Theoret. and Math. Phys., 112:1 (1997), 857–865
Linking options:
https://www.mathnet.ru/eng/tmf1028https://doi.org/10.4213/tmf1028 https://www.mathnet.ru/eng/tmf/v112/i1/p81
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