The Hausdorff dimension of Julia sets of entire functions

DOI10.1017/S0143385700006477zbMath0728.58015WikidataQ121053003 ScholiaQ121053003MaRDI QIDQ3352159

G. M. Stallard

Publication date: 1991

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensioniteration of entire functions

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Ergodic theory (37A99)

Related Items (11)

A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract ⋮ Iteration of meromorphic functions ⋮ Hausdorff dimension of hairs and ends for entire maps of finite order ⋮ Hausdorff dimensions of escaping sets of transcendental entire functions ⋮ Are Devaney hairs fast escaping? ⋮ Dynamics in the Eremenko-Lyubich class ⋮ On the Hausdorff dimension of Julia sets of meromorphic functions. II ⋮ Random non-hyperbolic exponential maps ⋮ Growth conditions for entire functions with only bounded Fatou components ⋮ Variations on a theme of Hardy concerning the maximum modulus ⋮ Transcendental Julia sets with fractional packing dimension

Cites Work

• Unnamed Item
• Invariant sets under iteration of rational functions
• Area and Hausdorff Dimension of Julia Sets of Entire Functions

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