Geodesic
The explicit probability distribution of a six-dimensional random flight
Teoriâ slučajnyh processov, Tome 15 (2009) no. 1, pp. 33-39

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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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     author = {Alexander. D. Kolesnik},
     title = {The explicit probability distribution of a six-dimensional random flight},
     journal = {Teori\^a slu\v{c}ajnyh processov},
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     publisher = {mathdoc},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2009_15_1_a3/}
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Alexander. D. Kolesnik. The explicit probability distribution of a six-dimensional random flight. Teoriâ slučajnyh processov, Tome 15 (2009) no. 1, pp. 33-39. http://geodesic.mathdoc.fr/item/THSP_2009_15_1_a3/