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
Date:1997
Main Authors: Elworthy, K. D., Zhi, Ming Ma, Елворті, К. Д., Чжи-Мін, Ма
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 1997
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