Riemann map and holomorphic dynamics

DOI10.1007/BF01390324zbMath0616.58029MaRDI QIDQ1821410

Feliks Przytycki

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/143376

zbMATH Keywords

entropyHausdorff dimensionharmonic measureholomorphic dynamicscharacteristic exponentergodic measure

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Integration on manifolds; measures on manifolds (58C35)

Related Items

Symmetries on the Julia set, External rays to periodic points, An extended Fatou-Shishikura inequality and wandering branch continua for polynomials, On Hausdorff dimension of polynomial not totally disconnected Julia sets, When do two rational functions have the same Julia set?, Convergence and pre-images of limit points for coding trees for iterations of holomorphic maps, Harmonic Measure Versus Hausdorff Measures on Repellers for Holomorphic Maps, Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure, Parabolic orbifolds and the dimension of the maximal measure for rational maps, Boundaries for multipliers of periodic points of holomorphic mappings, Rays to renormalizations, Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map, Coding and tiling of Julia sets for subhyperbolic rational maps

Cites Work

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• The dimension of the maximal measure for a polynomial map
• Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map
• Invariant sets under iteration of rational functions
• Ensembles exceptionnels
• An invariant measure for rational maps
• On the uniqueness of the maximizing measure for rational maps
• On the Distortion of Boundary Sets Under Conformal Mappings
• On the support of harmonic measure for sets of Cantor type
• An inequality for the entropy of differentiable maps
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• On invariant measures for expanding differentiable mappings