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Dimension of the harmonic measure of non-homogeneous Cantor sets

Athanasios Batakis
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Abstract

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.

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Athanasios Batakis. 2003-05-23. Dimension of the harmonic measure of non-homogeneous Cantor sets. https://arxiv.org/abs/math/0305330

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