Dimension of the harmonic measure of non-homogeneous Cantor sets

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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.
13 pages, 2 figures

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Analysis of PDEs, Dynamical Systems, 31A15;28A80

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http://salesiana.dossiersoluciones.com/handle/123456789/67545

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305330
 http://arxiv.org/abs/math/0305330

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arXiv