2017
Том 69
№ 9

All Issues

Admissible vector fields and related diffusions on infinite-dimensional manifolds

Elworthy K. D., Zhi Ming Ma

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 3, pp 451-466.

Citation Example: Elworthy K. D., Zhi Ming Ma Admissible vector fields and related diffusions on infinite-dimensional manifolds // Ukr. Mat. Zh. - 1997. - 49, № 3. - pp. 410–423.

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