Isotropic Random Motion at Finite Speed with K-Erlang Distributed Direction Alternations
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/13384/
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| Title |
Isotropic Random Motion at Finite Speed with K-Erlang Distributed Direction Alternations |
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| Creator |
Pogoruі, А. А.
Rodríguez-Dagnіno, Ramón М. |
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| Subject |
Mathematical Analysis
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| Description |
We study uniformly distributed direction ofmotion at finite speed where the direction alternations occur according to the renewal epochs of a K-Erlang pdf. At first sight, our generalizations of previous Markovian results appears to be a small step, however, it must be seen as an important non-Markovian case where we have found closed-form expressions for the pdf and the conditional characteristic function of this semi-Markov transport process. We present detailed calculations of a three-dimensional example for the 2-Erlang case, which is important not only from physical applications point of view but also to understand more general models. For instance, in principle the example of the 2-Erlang case can be extended to a K-Erlang case (K = 3, 4, . . .) but some of the mathematical expressions may be cumbersome. |
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| Publisher |
Springer Science+Business Media
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| Date |
2011
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/13384/1/JStatPhys2011Last.pdf
Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М. (2011) Isotropic Random Motion at Finite Speed with K-Erlang Distributed Direction Alternations. Springer Science+Business Media. |
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