Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT
From MaRDI portal
Publication:6178437
DOI10.1017/fms.2023.110arXiv2301.13535MaRDI QIDQ6178437
Fabrizio Bianchi, Tien-Cuong Dinh
Publication date: 18 January 2024
Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.13535
Central limit and other weak theorems (60F05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Plurisubharmonic functions and generalizations (32U05) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equidistribution of saddle periodic points for Hénon-type automorphisms of \(\mathbb C^k\)
- On the work of Sarig on countable Markov chains and thermodynamic formalism
- Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents
- On the regular automorphisms of \(\mathbb{C}^k\).
- Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\)
- Decay of correlations for Hénon maps
- Fine inducing and equilibrium measures for rational functions of the Riemann sphere
- Dynamics of horizontal-like maps in higher dimension
- Exponential estimates for plurisubharmonic functions
- On decay of correlations in Anosov flows
- Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
- Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure
- Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\)
- Real polynomial diffeomorphisms with maximal entropy: tangencies
- Decay of correlations
- Central limit theorems for group actions which are exponentially mixing of all orders
- Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence
- Stochastics and thermodynamics for equilibrium measures of holomorphic endomorphisms on complex projective spaces
- Geometry of currents, intersection theory and dynamics of horizontal-like maps
- Exponential decay of correlations for generic regular birational maps of \(\mathbb P^k\)
- Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
- Entropy of meromorphic maps and dynamics of birational maps
- Dynamical properties of plane polynomial automorphisms
- Henon-like mappings in C 2
- On the transfer operator for rational functions on the Riemann sphere
- Exponential mixing property for Hénon–Sibony maps of
- Statistical properties of topological Collet–Eckmann maps
- Decay of correlations and the central limit theorem for meromorphic maps