Ergodicity of conformal measures for unimodal polynomials

DOI10.1090/S1088-4173-98-00019-8zbMath0893.58046arXivmath/9606222OpenAlexW1585935036MaRDI QIDQ4382378

Eduardo A. Prado

Publication date: 30 March 1998

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9606222

zbMATH Keywords

ergodicityholomorphic dynamicsconformal measuresunimodal polynomial

Mathematics Subject Classification ID

Ergodic theory (37A99) Low-dimensional dynamical systems (37E99) Dynamical systems over complex numbers (37F99)

Related Items

Attractors for graph critical rational maps ⋮ Expansion of derivatives in one-dimensional dynamics ⋮ On Poincaré series of unicritical polynomials at the critical point ⋮ Hausdorff dimension and conformal measures of Feigenbaum Julia sets ⋮ Backward stability for polynomial maps with locally connected Julia sets ⋮ Lebesgue measure of Feigenbaum Julia sets ⋮ On the ergodicity of conformal measures for rational maps with totally disconnected Julia sets

Cites Work

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• Local connectivity of the Julia set of real polynomials
• Dynamics of quadratic polynomials: complex bounds for real 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 dynamics of polynomial-like mappings
• Measurable dynamics of $S$-unimodal maps of the interval
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Rational functions with no recurrent critical points
• Frontiers in complex dynamics
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms