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 SM ISO690:2012KOLESNIK, Alexander. Discontinuous term of the distribution for Markovian random evolution in R3. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 2(51), pp. 62-68. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(51) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 62-68 | ||||||
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We consider the random motion at constant finite speed in the space R3 subject to the control of a homogeneous Poisson process and with uniform choice of directions on the unit 3-sphere. We obtain the explicit forms of the conditional characteristic function and conditional distribution when one change of direction occurs. We show that this conditional distribution represents a discontinuous term of the transition function of the motion.. |
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| Cuvinte-cheie Random motions, finite speed, random evolution, charac- teristic functions, conditional distributions. |
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