Hausdorff measures on Julia sets of subexpanding rational maps

DOI10.1007/BF02782852zbMath0763.30008OpenAlexW2089948706WikidataQ122964306 ScholiaQ122964306MaRDI QIDQ1196334

Manfred Denker, Mariusz Urbański

Publication date: 9 December 1992

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

Full work available at URL: https://doi.org/10.1007/bf02782852

zbMATH Keywords

Hausdorff measurerational mapconformal measureBox dimensions

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Hausdorff and packing measures (28A78) Dynamical systems over complex numbers (37F99)

Related Items

Rational functions with no recurrent critical points ⋮ Geometry and ergodic theory of parabolic meromorphic functions ⋮ Book Review: Conformal fractals: ergodic theory methods ⋮ Dynamics of a family of rational maps concerning renormalization transformation ⋮ Continuity of Julia set and its Hausdorff dimension of Yang-Lee zeros ⋮ On the continuity of Hausdorff dimension of Julia sets concerning Potts models ⋮ Misiurewicz points on the Mandelbrot-like set concerning renormalization transformation ⋮ Measures and dimensions in conformal dynamics ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

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