Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\)
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Publication:846738
DOI10.1007/s00440-008-0192-4zbMath1244.37028arXiv0712.0521OpenAlexW2004193600MaRDI QIDQ846738
Publication date: 9 February 2010
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0712.0521
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Functional limit theorems; invariance principles (60F17)
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Cites Work
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- A note on the almost sure central limit theorem
- Super-potentials of positive closed currents, intersection theory and dynamics
- Almost sure invariance principle for nonuniformly hyperbolic systems
- Pesin's formula and meromorphic maps
- Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps. I
- Ergodic properties of invariant measures for piecewise monotonic transformations
- Lyapunov exponent and the distribution of the periodic points of an endomorphism of \(\mathbb {CP}^k\)
- Dimension of the equilibrium measure of holomorphic maps
- Limit theorems and Markov approximations for chaotic dynamical systems
- Parabolic orbifolds and the dimension of the maximal measure for rational maps
- The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature
- Propriétés ergodiques des mesures de Sinaï
- On almost-sure versions of classical limit theorems for dynamical systems
- A characterization of Lattès endomorphisms by their Green measure
- Une caractérisation géométrique des exemples de Lattès de $\mathbb{P}^k$
- Approximation by Brownian motion for Gibbs measures and flows under a function
- On thermodynamics of rational maps on the Riemann sphere
- Almost sure invariance principles for partial sums of weakly dependent random variables
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- The coding of non-uniformly expanding maps with application to endomorphisms of $CP^k$
- Limit theorems for partially hyperbolic systems
- La propriété de Bernoulli pour les endomorphismes de \mathsf{P}^k(\mathbb{C})
- On the transfer operator for rational functions on the Riemann sphere
- Decay of correlations and the central limit theorem for meromorphic maps
- Some Limit Theorems for Stationary Processes
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
