Limit drift for complex Feigenbaum mappings

DOI10.1017/etds.2020.53zbMath1477.37056arXiv1801.05303OpenAlexW2783838015WikidataQ114119161 ScholiaQ114119161MaRDI QIDQ5000387

Genadi Levin, Grzegorz Świątek

Publication date: 13 July 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05303

zbMATH Keywords

invariant measureFeigenbaum functionlimit driftmeasure of Julia set

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) Renormalization of holomorphic dynamical systems (37F25)

Cites Work

• Common limits of Fibonacci circle maps
• The universal metric properties of nonlinear transformations
• Computer methods and Borel summability applied to Feigenbaum's equation
• Analyticity properties of the Feigenbaum function
• Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
• Quantitative universality for a class of nonlinear transformations
• Wild Cantor attractors exist
• On the Lebesgue measure of the Feigenbaum Julia set
• Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality
• Dynamics and universality of unimodal mappings with infinite criticality
• Measure of the Julia set of the Feigenbaum map with infinite criticality
• Limit drift
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