The maximal entropy measure of Fatou boundaries

DOI10.3934/dcds.2018192zbMath1403.37052arXiv1708.07141OpenAlexW2964077952MaRDI QIDQ1661177

Y. Aharonov

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07141

zbMATH Keywords

Julia setsmeasurecomplex dynamicsFatou sets

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Geometric limits in holomorphic dynamics (37F40)

Cites Work

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• Topological complexity of Julia sets
• Local connectivity of the Julia set for geometrically finite rational maps
• Topology and measure of buried points in Julia sets
• On the residual Julia sets of rational functions
• An invariant measure for rational maps
• Lebesgue Ergodic Rational Maps in Parameter Space
• Complex Dynamics and Renormalization (AM-135)
• Any counterexample to Makienko’s conjecture is an indecomposable continuum
• Dynamics in One Complex Variable. (AM-160)

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