Stochastic flows with interaction and measure-valued processes
We consider the new class of the Markov measure-valued stochastic processes with constant mass. We give the construction of such processes with the family of the probabilities which describe the motion of single particles. We also consider examples related to stochastic flows with the interactions a...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203301073 |
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| _version_ | 1832564583673364480 |
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| author | Andrey A. Dorogovtsev |
| author_facet | Andrey A. Dorogovtsev |
| author_sort | Andrey A. Dorogovtsev |
| collection | DOAJ |
| description | We consider the new class of the Markov measure-valued stochastic
processes with constant mass. We give the construction of
such processes with the family of the probabilities which
describe the motion of single particles. We also consider
examples related to stochastic flows with the interactions and
the local times for such processes. |
| format | Article |
| id | doaj-art-fd43447182464fffb89eae720bd132ae |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fd43447182464fffb89eae720bd132ae2025-02-03T01:10:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003633963397710.1155/S0161171203301073Stochastic flows with interaction and measure-valued processesAndrey A. Dorogovtsev0Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivska, Kiev 01601, UkraineWe consider the new class of the Markov measure-valued stochastic processes with constant mass. We give the construction of such processes with the family of the probabilities which describe the motion of single particles. We also consider examples related to stochastic flows with the interactions and the local times for such processes.http://dx.doi.org/10.1155/S0161171203301073 |
| spellingShingle | Andrey A. Dorogovtsev Stochastic flows with interaction and measure-valued processes International Journal of Mathematics and Mathematical Sciences |
| title | Stochastic flows with interaction and measure-valued processes |
| title_full | Stochastic flows with interaction and measure-valued processes |
| title_fullStr | Stochastic flows with interaction and measure-valued processes |
| title_full_unstemmed | Stochastic flows with interaction and measure-valued processes |
| title_short | Stochastic flows with interaction and measure-valued processes |
| title_sort | stochastic flows with interaction and measure valued processes |
| url | http://dx.doi.org/10.1155/S0161171203301073 |
| work_keys_str_mv | AT andreyadorogovtsev stochasticflowswithinteractionandmeasurevaluedprocesses |