Natural invariant measures, divergence points and dimension in one-dimensional holomorphic dynamics
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Publication:3399057
DOI10.1017/S0143385708000710zbMath1179.37065MaRDI QIDQ3399057
Christian Wolf, Jacie Kaufmann, William Ingle
Publication date: 29 September 2009
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
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)
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Cites Work
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- Ergodic limits on the conformal repellers
- Holomorphic families of injections
- Continuity properties of entropy
- The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
- Generic hyperbolicity in the logistic family
- Hausdorff dimension of quasi-circles
- Ergodic theory on compact spaces
- Dynamics of quadratic polynomials. I, II
- Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
- What are SRB measures, and which dynamical systems have them?
- Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps
- Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
- Density of hyperbolicity in dimension one
- Generalized physical and SRB measures for hyperbolic diffeomorphisms
- Invariant measures of full dimension for some expanding maps
- Variation of Hausdorff dimension of Julia sets
- Lyapunov Characteristic Exponents are Nonnegative
- 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
- A relation between Lyapunov exponents, Hausdorff dimension and entropy
- Holomorphic Motions and Polynomial Hulls
- Conical limit set and Poincaré exponent for iterations of rational functions
- Frontiers in complex dynamics
- Geometry and ergodic theory of conformal non-recurrent dynamics
- Measures and dimensions in conformal dynamics
- Equality of pressures for rational functions
- Topological Entropy for Noncompact Sets
- A Complex Rolle's Theorem
- Dynamics in One Complex Variable. (AM-160)
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