Uniformly perfect and hereditarily non uniformly perfect analytic and conformal non-autonomous attractor sets

DOI10.1080/14689367.2021.1975262zbMath1482.30070arXiv1912.11534OpenAlexW3196409646MaRDI QIDQ5014339

Mark Comerford, Kurt Falk, Hiroki Sumi, Rich Stankewitz

Publication date: 2 December 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11534

zbMATH Keywords

Julia setshereditarily non uniformly perfect attractor setsuniformly perfect attractor sets

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Cites Work

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• Hereditarily non uniformly perfect sets
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• UNIFORMLY PERFECT ANALYTIC AND CONFORMAL ATTRACTOR SETS
• The Poincaré Metric of Plane Domains
• Conformal iterated function systems with applications to the geometry of continued fractions
• Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s
• Dimensions and Measures in Infinite Iterated Function Systems
• Semi-hyperbolic fibered rational maps and rational semigroups

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