On the ergodicity of conformal measures for rational maps with totally disconnected Julia sets
DOI10.1090/S0002-9939-2012-11233-XzbMath1291.37073OpenAlexW2061329908WikidataQ122240978 ScholiaQ122240978MaRDI QIDQ2845862
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11233-x
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) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Non-uniform hyperbolicity in complex dynamics
- Proof of the Branner-Hubbard conjecture on Cantor Julia sets
- Recurrent critical points and typical limit sets for conformal measures
- Rigidity for real polynomials
- Geometry and ergodic theory of non-hyperbolic exponential maps
- Geometric thermodynamic formalism and real analyticity for meromorphic functions of finite order
- Ergodic properties of semi-hyperbolic functions with polynomial Schwarzian derivative
- On the Existence of Conformal Measures
- Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points
- Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
- Geometry and ergodic theory of conformal non-recurrent dynamics
- Ergodicity of conformal measures for unimodal polynomials
- Iterations of holomorphic Collet-Eckmann maps: conformal and invariant measures. Appendix: On non-renormalizable quadratic polynomials
- Measures and dimensions in conformal dynamics
- Statistical properties of topological Collet–Eckmann maps
- No invariant line fields on Cantor Julia sets
- Dynamics in One Complex Variable. (AM-160)
This page was built for publication: On the ergodicity of conformal measures for rational maps with totally disconnected Julia sets
