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.
%0 Journal Article
%1 ramasubramanian1988hitting
%A Ramasubramanian, S.
%D 1988
%J Probability Theory and Related Fields
%K diffusions hitting_times potential_theory
%N 1
%P 149--163
%R 10.1007/BF00718043
%T Hitting of submanifolds by diffusions
%U http://dx.doi.org/10.1007/BF00718043
%V 78
%X 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.
@article{ramasubramanian1988hitting,
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.},
added-at = {2016-02-09T22:32:15.000+0100},
author = {Ramasubramanian, S.},
biburl = {https://www.bibsonomy.org/bibtex/25b8358a756bb45066f70da2fc43b94ad/peter.ralph},
doi = {10.1007/BF00718043},
interhash = {9449af7a38a64a472dc4af0c03d8e073},
intrahash = {5b8358a756bb45066f70da2fc43b94ad},
issn = {1432-2064},
journal = {Probability Theory and Related Fields},
keywords = {diffusions hitting_times potential_theory},
number = 1,
pages = {149--163},
timestamp = {2016-02-09T22:32:15.000+0100},
title = {Hitting of submanifolds by diffusions},
url = {http://dx.doi.org/10.1007/BF00718043},
volume = 78,
year = 1988
}