Hausdorff dimension of quadratic rational Julia sets

DOI10.1007/s10114-013-1640-3zbMath1352.37141OpenAlexW2089520240WikidataQ123345483 ScholiaQ123345483MaRDI QIDQ2440481

Jia Zhou, Liang-Wen Liao

Publication date: 18 March 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1640-3

zbMATH Keywords

Julia setquadratic rational mapHaudorff dimensionshallow set

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) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (2)

CONSTRUCTION AND ANALYSIS OF A SPECIAL ONE-DIMENSIONAL CONTINUOUS FUNCTION ⋮ THE CLASSIFICATION OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS AND THEIR FRACTIONAL INTEGRAL

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