Admissible vector fields and related diffusions on infinite-dimensional manifolds
A variation on the notion of “admissibility” for vector fields on certain infinite-dimensional manifolds with measures on them is described. It leads to the construction of associated diffusions and Markov semigroups on these manifolds via Dirichlet forms. Some classes of concrete examples are given...
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| Date: | 1997 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5014 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511210081878016 |
|---|---|
| author | Elworthy, K. D. Zhi, Ming Ma Елворті, К. Д. Чжи-Мін, Ма |
| author_facet | Elworthy, K. D. Zhi, Ming Ma Елворті, К. Д. Чжи-Мін, Ма |
| author_sort | Elworthy, K. D. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:22:53Z |
| description | A variation on the notion of “admissibility” for vector fields on certain infinite-dimensional manifolds with measures on them is described. It leads to the construction of associated diffusions and Markov semigroups on these manifolds via Dirichlet forms. Some classes of concrete examples are given. |
| first_indexed | 2026-03-24T03:09:16Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5014 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:09:16Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/30/03c9525c3867b7bcf4155c9c42e85130.pdf |
| spelling | umjimathkievua-article-50142020-03-18T21:22:53Z Admissible vector fields and related diffusions on infinite-dimensional manifolds Допустимі векторні поля і асоційовані дифузії на нескінченновимірних многовидах Elworthy, K. D. Zhi, Ming Ma Елворті, К. Д. Чжи-Мін, Ма A variation on the notion of “admissibility” for vector fields on certain infinite-dimensional manifolds with measures on them is described. It leads to the construction of associated diffusions and Markov semigroups on these manifolds via Dirichlet forms. Some classes of concrete examples are given. Розглядається варіант поняття „допустимих" векторних полів на певних нескінченновимірних многовидах з мірами на них. Це приводить до конструкції асоційованих дифузій та марковських підгруп на цих миоговидах за допомогою форм Діріхле. Подані певні класи конкретних прикладів. Institute of Mathematics, NAS of Ukraine 1997-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5014 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 3 (1997); 410–423 Український математичний журнал; Том 49 № 3 (1997); 410–423 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5014/6727 https://umj.imath.kiev.ua/index.php/umj/article/view/5014/6728 Copyright (c) 1997 Elworthy K. D.; Zhi Ming Ma |
| spellingShingle | Elworthy, K. D. Zhi, Ming Ma Елворті, К. Д. Чжи-Мін, Ма Admissible vector fields and related diffusions on infinite-dimensional manifolds |
| title | Admissible vector fields and related diffusions on infinite-dimensional manifolds |
| title_alt | Допустимі векторні поля і асоційовані дифузії на нескінченновимірних многовидах |
| title_full | Admissible vector fields and related diffusions on infinite-dimensional manifolds |
| title_fullStr | Admissible vector fields and related diffusions on infinite-dimensional manifolds |
| title_full_unstemmed | Admissible vector fields and related diffusions on infinite-dimensional manifolds |
| title_short | Admissible vector fields and related diffusions on infinite-dimensional manifolds |
| title_sort | admissible vector fields and related diffusions on infinite-dimensional manifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5014 |
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