HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS

DOI10.1112/S0024609302001686zbMath1023.37027OpenAlexW1811222889WikidataQ115181066 ScholiaQ115181066MaRDI QIDQ4418923

Mariusz Urbański, Janina Kotus

Publication date: 16 November 2003

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

Full work available at URL: https://doi.org/10.1112/s0024609302001686

zbMATH Keywords

Julia setHausdorff dimensionmeromorphic functioniterate

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) Meromorphic functions of one complex variable (general theory) (30D30) Hausdorff and packing measures (28A78)

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