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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Datum:1997
Hauptverfasser: Elworthy, K.D., Zhi-Ming Ma
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 1997
Schriftenreihe:Український математичний журнал
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/156493
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Admissible vector fields and related diffusions on infinite-dimensional manifolds / K.D. Elworthy, Zhi-Ming Ma // Український математичний журнал. — 1997. — Т. 49, № 3. — С. 410–423. — Бібліогр.: 33 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine