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Subjects
31-XX Potential theory
31Axx Two-dimensional theory
31A15 Potentials and capacity, harmonic measure, extremal length

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Dimension of the harmonic measure of non-homogeneous Cantor sets

Athanasios Batakis (2006)

Annales de l’institut Fourier

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

Dirichlet's Principle, Uniqueness of Harmonic Maps and Extremal QC Mappings

Miodrag Mateljević (2004)

Zbornik Radova

Discrete groups and thin sets.

Lundh, Torbjörn (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

Distribution of primes and a weighted energy problem.

Pritsker, Igor E. (2006)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Currently displaying 1 – 4 of 4

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