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A Hausdorff measure classification of \(G\)-polar sets for the superdiffusions - MaRDI portal

A Hausdorff measure classification of \(G\)-polar sets for the superdiffusions (Q1326343)

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scientific article; zbMATH DE number 569076
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English
A Hausdorff measure classification of \(G\)-polar sets for the superdiffusions
scientific article; zbMATH DE number 569076

    Statements

    A Hausdorff measure classification of \(G\)-polar sets for the superdiffusions (English)
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    15 August 1994
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    We establish relations between \(G\)-polar sets of superdiffusions and the restricted Hausdorff dimension. As an application, we give new proofs of Dynkin's criteria for the \(S\)-polarity and \(H\)-polarity (established earlier by Dawson, Iscoe, Perkins, and Le Gall under more restrictive assumptions).
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    \(H\)-polarity
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    \(S\)-polarity
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    superdiffusions
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    Hausdorff dimension
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