ON HAUSDORFF MEASURES AND SBR MEASURES FOR PARABOLIC RATIONAL MAPS

DOI10.1142/S0218127499001243zbMath1089.37525OpenAlexW2019880016MaRDI QIDQ5474026

Steffen Rohde, Manfred Denker

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499001243

zbMATH Keywords

Hausdorff measuresJulia set of a parabolic rational map

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items

Measures and dimensions in conformal dynamics

Cites Work

• Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps. I
• Invariant sets under iteration of rational functions
• Geometric measures for parabolic rational maps
• On the Distortion of Boundary Sets Under Conformal Mappings
• On an estimate of makarov in conformal mapping
• Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points
• Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps