Dimension of elliptic harmonic measure of snowspheres

zbMath1188.30026arXiv0812.2387MaRDI QIDQ2267724

Daniel Meyer

Publication date: 1 March 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2387

zbMATH Keywords

Hausdorff dimensionquasisphereelliptic harmonic measure

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Dynamical aspects of measure-preserving transformations (37A05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

Dimension drop for harmonic measure on Ahlfors regular boundaries ⋮ Singular quasisymmetric mappings in dimensions two and greater ⋮ On the inverse absolute continuity of quasiconformal mappings on hypersurfaces

Cites Work

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• The boundary correspondence under quasiconformal mappings
• The dimension of the maximal measure for a polynomial map
• Non-uniform hyperbolicity in complex dynamics
• Complex dynamics
• A proof of Thurston's topological characterization of rational functions
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Lectures on analysis on metric spaces
• Parabolic orbifolds and the dimension of the maximal measure for rational maps
• On the Hausdorff dimension of harmonic measure in higher dimension
• Reifenberg flat metric spaces, snowballs, and embeddings
• Lectures on \(n\)-dimensional quasiconformal mappings
• Lyapunov Characteristic Exponents are Nonnegative
• Snowballs are quasiballs
• On the Distortion of Boundary Sets Under Conformal Mappings
• Hausdorff dimension and quasisymmetric mappings.
• Finite subdivision rules
• Measures and dimensions in conformal dynamics
• Constructing rational maps from subdivision rules
• Complex Dynamics and Renormalization (AM-135)
• Dynamics in One Complex Variable. (AM-160)

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