Dimension of the harmonic measure of non-homogeneous Cantor sets

Details Dimension of the harmonic measure of non-homogeneous Cantor sets Dimension of the harmonic measure of non-homogeneous Cantor sets

2003-05-23

arxiv.org/abs/math/0305330v1

Mathematics

Analysis of PDEs

13 pages, 2 figures

Scientific paper

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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