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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Bibliographic Details
Published in:Український математичний журнал
Date:1997
Main Authors: Elworthy, K.D., Zhi-Ming Ma
Format: Article
Language:English
Published: Інститут математики НАН України 1997
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/156493
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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