Length of Julia curves

DOI10.2140/pjm.1995.169.75zbMath0836.30021OpenAlexW2045669768WikidataQ123009863 ScholiaQ123009863MaRDI QIDQ1902041

David . H. Hamilton

Publication date: 22 April 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1995.169.75

zbMATH Keywords

Julia setrational functionHausdorff measuremeromorphic functionFatou setDenjoy-Wolff pointergodic function

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Normal functions of one complex variable, normal families (30D45)

Related Items (8)

Chebyshev polynomials on generalized Julia sets ⋮ Complex asymptotics of Poincaré functions and properties of Julia sets ⋮ Convex hulls of polynomial Julia sets ⋮ Dimension rigidity in conformal structures ⋮ Continuity of capacity of a holomorphic motion ⋮ The dynamical Manin–Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of ⋮ Poincaré Functional Equations, Harmonic Measures on Julia Sets, and Fractal Zeta Functions ⋮ Meromorphic functions with linearly distributed values and Julia sets of rational functions

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