Harmonic measure on the Julia set for polynomial-like maps

DOI10.1007/s002220050142zbMath0872.30017OpenAlexW1993280267WikidataQ121347377 ScholiaQ121347377MaRDI QIDQ1358248

Anna Zdunik

Publication date: 3 July 1997

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050142

zbMATH Keywords

Julia setHausdorff dimensioninvariant measureharmonic measurepolynomial-like map

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items (7)

Potential theory and a characterization of polynomials in complex dynamics ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Two measures on Cantor sets ⋮ Cantor sets with absolutely continuous harmonic measure ⋮ Matrix random products with singular harmonic measure ⋮ Diabolical entropy ⋮ Hausdorff dimension of harmonic measure for self-conformal sets

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