Dimension of the harmonic measure of non-homogeneous Cantor sets
Analysis of PDEs
2007-05-23 v1 Dynamical Systems
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.
Cite
@article{arxiv.math/0305330,
title = {Dimension of the harmonic measure of non-homogeneous Cantor sets},
author = {Athanasios Batakis},
journal= {arXiv preprint arXiv:math/0305330},
year = {2007}
}
Comments
13 pages, 2 figures