Continuity of Hausdorff measure for conformal dynamical systems

Author:

Szarek Tomasz, ,Urbański Mariusz,Zdunik Anna, ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference27 articles.

1. Ergodic theory for Markov fibered systems and parabolic rational maps,;J. Aaronson;Transactions of A.M.S.,1993

2. Real analyticity of hausdorff dimension of Julia sets of parabolic polynomials $f_{\lambda}(z)=z(1-z-\lambda z^{2})$,;H. Akter;Preprint 2009,2009

3. Quelques resultats sur la dimension de Hausdorff des ensembles de Julia des polynomes quadratiques,;O. Bodart;Fund. Math.,1996

4. Hausdorff dimension of quasi-circles,;R. Bowen;Publ. Math. IHES,1979

5. Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic point,;M. Denker;J. London Math. Soc.,1991

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1. Asymptotic Counting in Conformal Dynamical Systems;Memoirs of the American Mathematical Society;2021-05

2. Piecewise Monotone Maps and the Gauss Endomorphism;Transfer Operators, Endomorphisms, and Measurable Partitions;2018

3. Regularity of Hausdorff measure function for conformal dynamical systems;Mathematical Proceedings of the Cambridge Philosophical Society;2016-02-17

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