DIMENSIONS OF JULIA SETS OF MEROMORPHIC FUNCTIONS

DOI10.1112/S0024610705006393zbMath1075.30019OpenAlexW2095170983WikidataQ121608089 ScholiaQ121608089MaRDI QIDQ5465988

Philip J. Rippon, G. M. Stallard

Publication date: 23 August 2005

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610705006393

zbMATH Keywords

Julia setpacking dimensionmeromorphic functionsupper and lower box dimensions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (9)

A transcendental Julia set of dimension 1 ⋮ On the packing dimension of the Julia set and the escaping set of an entire function ⋮ Fast escaping points of entire functions: a new regularity condition ⋮ The Eremenko–Lyubich constant ⋮ A generalized family of transcendental functions with one dimensional Julia sets ⋮ Entire functions with Julia sets of positive measure ⋮ Dynamic rays of bounded-type transcendental self-maps of the punctured plane ⋮ Functions of genus zero for which the fast escaping set has Hausdorff dimension two ⋮ Transcendental Julia sets with fractional packing dimension

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