Continuity of Hausdorff measure for conformal dynamical systems

DOI10.3934/DCDS.2013.33.4647zbMath1280.37045OpenAlexW2312323430MaRDI QIDQ379605

Tomasz Szarek, Mariusz Urbański, Anna Zdunik

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.4647

zbMATH Keywords

Hausdorff measuredimension theoryconformal dynamical systems

Mathematics Subject Classification ID

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) Dynamical systems involving maps of the interval (37E05)

Related Items (3)

Continuity of the Hausdorff measure of continued fractions and countable alphabet iterated function systems ⋮ Regularity of Hausdorff measure function for conformal dynamical systems ⋮ Asymptotic Counting in Conformal Dynamical Systems

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