On the existence of conformal measures supported on conical points.

DOI10.3792/PJAA.79.154zbMath1045.37029OpenAlexW1980843558MaRDI QIDQ595966

Zhiyong Huang, Yue Fei Wang

Publication date: 6 August 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.79.154

zbMATH Keywords

critical pointJulia setrational mapconformal measureconical point

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• On Sullivan's conformal measures for rational maps of the Riemann sphere
• Geometric measures for parabolic rational maps
• On the Existence of Conformal Measures
• Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points
• Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
• Conical limit set and Poincaré exponent for iterations of rational functions
• On a theorem of Fatou
• Rational functions with no recurrent critical points
• Measures and dimensions in conformal dynamics
• Ergodic theory of equilibrium states for rational maps

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