Displaying similar documents to “On the Hausdorff dimension of harmonic measure in higher dimension.”

Contracting-on-Average Baker Maps

Michał Rams (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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We estimate from above and below the Hausdorff dimension of SRB measure for contracting-on-average baker maps.

Dimension of the harmonic measure of non-homogeneous Cantor sets

Athanasios Batakis (2006)

Annales de l’institut Fourier

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We prove that the dimension of the harmonic measure of the complementary of a translation-invariant type of Cantor sets is a continuous function of the parameters determining these sets. This results extends a previous one of the author and do not use ergotic theoretic tools, not applicables to our case.