On Lebesgue measure and Hausdorff dimension of Julia sets of real periodic points of renormalization

DOI10.4064/ba210406-10-4zbMath1476.37069OpenAlexW3152837908WikidataQ120784106 ScholiaQ120784106MaRDI QIDQ5003062

Artem Dudko

Publication date: 29 July 2021

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba210406-10-4

zbMATH Keywords

Julia setHausdorff dimensionrenormalizationFeigenbaum maps

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)

Related Items (1)

Lower bounds on the Hausdorff dimension of some Julia sets

Cites Work

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• A computer-assisted proof of the Feigenbaum conjectures
• Geometry of the Feigenbaum map
• Renormalization and 3-Manifolds Which Fiber over the Circle
• Hausdorff dimension and conformal measures of Feigenbaum Julia sets

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