DIMENSIONS OF JULIA SETS OF HYPERBOLIC ENTIRE FUNCTIONS

DOI10.1112/S0024609303002698zbMATH Open1050.30017WikidataQ121747087 ScholiaQ121747087MaRDI QIDQ4465122

Gwyneth M. Stallard

Publication date: 27 May 2004

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

zbMATH Keywords

Julia setHausdorff dimensionbox and packing dimensionhyperbolic entire function

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 (5)

On the packing dimension of the Julia set and the escaping set of an entire function ⋮ Speiser class Julia sets with dimension near one ⋮ Dimensions of the Julia sets of rational maps with the backward contraction property ⋮ Size of the Julia set of a structurally finite transcendental entire function ⋮ Title not available (Why is that?)

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