Admissible vector fields and related diffusions on infinite-dimensional manifolds

• 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
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156493
• 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.

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...