Article,

Hitting of submanifolds by diffusions

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Probability Theory and Related Fields, 78 (1): 149--163 (1988)
DOI: 10.1007/BF00718043

Abstract

It is proved that a (d-2) or lower dimensionalC 2-submanifold is a polar set for a nondegenerated-dimensional diffusion process. A similar result is established also for diffusions in a closed half space with reflecting boundary conditions.

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