Stochastic Semigroups and Random Mass Transfer
We consider the problem of random mass transfer on a metric compactum defined by a purely discontinuous stochastic semigroup \(T_t^s\) . We give a description of this semigroup based on a Markov process with random transition probability. We present conditions for the independence of measure-valu...
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4344 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510475130765312 |
|---|---|
| author | Feshchenko, O. Yu. Фещенко, О. Ю. |
| author_facet | Feshchenko, O. Yu. Фещенко, О. Ю. |
| author_sort | Feshchenko, O. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:26:49Z |
| description | We consider the problem of random mass transfer on a metric compactum defined by a purely discontinuous stochastic semigroup \(T_t^s\) . We give a description of this semigroup based on a Markov process with random transition probability. We present conditions for the independence of measure-valued processes of the form \(T_t^0 {\mu}_{0}\) , depending on the initial mass μ0. |
| first_indexed | 2026-03-24T02:57:35Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4344 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:57:35Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fa/bfa39d0801a4e9257072cfb1c0d5b5fa.pdf |
| spelling | umjimathkievua-article-43442020-03-18T20:26:49Z Stochastic Semigroups and Random Mass Transfer Стохастичні папівгрупи та випадковий масоперенос Feshchenko, O. Yu. Фещенко, О. Ю. We consider the problem of random mass transfer on a metric compactum defined by a purely discontinuous stochastic semigroup \(T_t^s\) . We give a description of this semigroup based on a Markov process with random transition probability. We present conditions for the independence of measure-valued processes of the form \(T_t^0 {\mu}_{0}\) , depending on the initial mass μ0. Розглядається випадковий перенос маси на метричному компакті, заданий за допомогою чисто розривної стохастичної напівтрупи $T_t^s$. Отримано опис напівтрупи за допомогою марковського процесу з випадковою перехідною ймовірністю. Наведено умови незалежності мірозначних процесів вигляду $T_t^0 {\mu}_{0}$ в залежності від початкової маси $μ_0$. Institute of Mathematics, NAS of Ukraine 2001-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4344 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 9 (2001); 1251-1259 Український математичний журнал; Том 53 № 9 (2001); 1251-1259 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4344/5392 https://umj.imath.kiev.ua/index.php/umj/article/view/4344/5393 Copyright (c) 2001 Feshchenko O. Yu. |
| spellingShingle | Feshchenko, O. Yu. Фещенко, О. Ю. Stochastic Semigroups and Random Mass Transfer |
| title | Stochastic Semigroups and Random Mass Transfer |
| title_alt | Стохастичні папівгрупи та випадковий масоперенос |
| title_full | Stochastic Semigroups and Random Mass Transfer |
| title_fullStr | Stochastic Semigroups and Random Mass Transfer |
| title_full_unstemmed | Stochastic Semigroups and Random Mass Transfer |
| title_short | Stochastic Semigroups and Random Mass Transfer |
| title_sort | stochastic semigroups and random mass transfer |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4344 |
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