A continuity property of the dimension of the harmonic measure of Cantor sets under perturbations

DOI10.1016/S0246-0203(00)00117-5zbMath0946.37018OpenAlexW1964005194MaRDI QIDQ1975236

Athanassios Batakis

Publication date: 26 October 2000

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2000__36_1_87_0

zbMATH Keywords

convergencecontinuityperturbationHausdorff dimensionCantor setsharmonic measures

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (4)

Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics ⋮ Dimension of the harmonic measure of non-homogeneous Cantor sets ⋮ Dimension drop for harmonic measure on Ahlfors regular boundaries ⋮ Hausdorff dimension of harmonic measure for self-conformal sets

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