Metric properties of the Julia set of some meromorphic functions with an asymptotic value eventually mapped onto a pole

DOI10.1017/S0305004104008278zbMath1089.30021OpenAlexW2099658573WikidataQ122047610 ScholiaQ122047610MaRDI QIDQ5315880

Bartłomiej Skorulski

Publication date: 12 September 2005

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004104008278

zbMATH Keywords

Julia setHausdorff dimensioncomplex dynamicsasymptotic valueTranscendental meromorphic function

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)

Related Items (5)

Gibbs state for some class of meromorphic functions ⋮ Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook ⋮ Entire functions with Julia sets of positive measure ⋮ Perturbations in the Speiser class ⋮ Lyapunov exponents for non-ergodic meromorphic functions

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