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Pré-Publication, Document De Travail Année : 2003

Dimension of the harmonic measure of non-homogeneous Cantor sets

Résumé

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

Dates et versions

hal-00019445 , version 1 (21-02-2006)

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Athanasios Batakis. Dimension of the harmonic measure of non-homogeneous Cantor sets. 2003. ⟨hal-00019445⟩
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