On the dimensions of Cantor Julia sets of rational maps
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Publication:1947338
DOI10.1016/j.jmaa.2013.01.052zbMath1278.37042OpenAlexW2007860237WikidataQ121770749 ScholiaQ121770749MaRDI QIDQ1947338
Publication date: 22 April 2013
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.052
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) 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)
Cites Work
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- Proof of the Branner-Hubbard conjecture on Cantor Julia sets
- The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
- Dynamics of quadratic polynomials. I, II
- Rigidity for real polynomials
- Lyapunov Characteristic Exponents are Nonnegative
- Rigidity and Expansion for Rational Maps
- On Sullivan's conformal measures for rational maps of the Riemann sphere
- Hausdorff and Conformal Measures on Julia Sets with a Rationally Indifferent Periodic Point
- On the Existence of Conformal Measures
- Julia and John
- Rational functions with no recurrent critical points
- Iterations of holomorphic Collet-Eckmann maps: conformal and invariant measures. Appendix: On non-renormalizable quadratic polynomials
- On the measurable dynamics of real rational functions
- Measures and dimensions in conformal dynamics
- No invariant line fields on Cantor Julia sets
- Dimensions of the Julia sets of rational maps with the backward contraction property
- Hausdorff dimension and conformal measures of Feigenbaum Julia sets
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