On the packing dimension of the Julia set and the escaping set of an entire function

DOI10.1007/s11856-012-0033-0zbMath1291.37077arXiv1101.3479OpenAlexW3105358555WikidataQ122445899 ScholiaQ122445899MaRDI QIDQ1932669

Walter Bergweiler

Publication date: 21 January 2013

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

Full work available at URL: https://arxiv.org/abs/1101.3479

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) 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) Hausdorff and packing measures (28A78)

Related Items (5)

A transcendental Julia set of dimension 1 ⋮ A generalized family of transcendental functions with one dimensional Julia sets ⋮ ON THE ITERATIONS AND THE ARGUMENT DISTRIBUTION OF MEROMORPHIC FUNCTIONS ⋮ Hausdorff Dimension of Sets of Escaping Points and Escaping Parameters for Elliptic Functions ⋮ Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook

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