Topology and measure of buried points in Julia sets

DOI10.4064/FM222-1-1zbMath1280.37042OpenAlexW2018121557WikidataQ120784071 ScholiaQ120784071MaRDI QIDQ2839261

John C. Mayer, Clinton P. Curry, Edward D. Tymchatyn

Publication date: 4 July 2013

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm222-1-1

zbMATH Keywords

Julia setcomplex dynamicsholomorphic dynamicsburied pointSuslinianresidual Julia setFatou domain

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (3)

The maximal entropy measure of Fatou boundaries ⋮ Julia sets as buried Julia components ⋮ Plane continua and totally disconnected sets of buried points

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