Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map

DOI10.1007/BF01388554zbMath0569.58024MaRDI QIDQ1060753

Feliks Przytycki

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/143225

zbMATH Keywords

entropycapacityHausdorff dimensionharmonic measurecodingradial limitholomorphic dynamicsLyapunov characteristic exponentsbasin of immediate attractionboundary behaviour of Riemann mapGibbs equilibrium states

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Ergodic theory (37A99) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

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Cites Work

• Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
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• Brownian motion and sets of harmonic measure zero
• Riemann map and holomorphic dynamics
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• Hausdorff dimension for horseshoes
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• A proof of Pesin's formula
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Repellers for real analytic maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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