Summary
We establish relations betweenG-polar sets of superdiffusions and the restricted Hausdorff dimension. As an application, we give new proofs of Dynkin's criteria for theS-polarity andH-polarity (established earlier by Dawson, Iscoe, Perkins, and Le Gall under more restrictive assumptions.)
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Sheu, YC. A Hausdorff measure classification ofG-polar sets for the superdiffusions. Probab. Th. Rel. Fields 95, 521–533 (1993). https://doi.org/10.1007/BF01196732
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DOI: https://doi.org/10.1007/BF01196732
Mathematics Subject Classification (1980)
- 60G17
- 60J45
- 31C15