Nice sets and invariant densities in complex dynamics
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Publication:3068833
DOI10.1017/S0305004110000265zbMath1210.37029arXiv0902.3140MaRDI QIDQ3068833
Publication date: 17 January 2011
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.3140
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) 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)
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Cites Work
- Absolutely continuous invariant measures for maps with flat tops
- No finite invariant density for Misiurewicz exponential maps
- Existence of invariant measures for transcendental subexpanding functions
- On the dynamics of entire functions on the Julia set
- A connecting lemma for rational maps satisfying a no-growth condition
- Invariant measures for meromorphic Misiurewicz maps
- Non-existence of absolutely continuous invariant probabilities for exponential maps
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