Том 71
№ 11

All Issues

Elworthy K. D.

Articles: 1
Article (English)

Admissible vector fields and related diffusions on infinite-dimensional manifolds

Elworthy K. D., Zhi Ming Ma

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 3. - pp. 410–423

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.