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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2008 Number 2, Pages 68–80 (Mi basm20)

This article is cited in 2 papers

Research articles

Moments of the Markovian random evolutions in two and four dimensions

Alexander D. Kolesnik

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova

Abstract: Closed-form expressions for the mixed moments of the Markovian random evolutions in the spaces $\mathbb R^2$ and $\mathbb R^4$, are obtained. The moments of the Euclidean distance from the origin at any time $t>0$ are also presented.

Keywords and phrases: Random motion, finite speed, random evolution, random flight, moments, transport process, explicit distribution, hypergeometric function.

MSC: 82C70, 60K35, 60K37, 82B41

Received: 12.02.2008

Language: English



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