Decay of correlations and the central limit theorem for meromorphic maps

DOI10.1002/cpa.20119zbMath1137.37023arXivmath/0410008OpenAlexW2145725241MaRDI QIDQ5471117

Nessim Sibony, Tien-Cuong Dinh

Publication date: 6 June 2006

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410008

zbMATH Keywords

Sobolev spacemixingequilibrium measureGordin-Liverani theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodicity, mixing, rates of mixing (37A25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (16)

On Brolin's theorem over the quaternions ⋮ Almost sure invariance principle for non-autonomous holomorphic dynamics in ℙ^{𝕜} ⋮ Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\) ⋮ Moser-Trudinger inequalities and complex Monge-Ampère equation ⋮ The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations ⋮ Random walks on \(\mathrm{SL}_2({\mathbb{C}})\): spectral gap and limit theorems ⋮ Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT ⋮ Dynamics of holomorphic correspondences on Riemann surfaces ⋮ Dynamical compactifications of \(\mathbb{C}^2\) ⋮ On the regularity of the Green current for semi-extremal endomorphisms of \(\mathbb{P}^2\) ⋮ Dirichlet-like space and capacity in complex analysis in several variables ⋮ Central limit theorems in linear dynamics ⋮ Density of positive closed currents, a theory of non-generic intersections ⋮ Analytic reparametrization of semi-algebraic sets ⋮ Exponential decay of correlations for generic regular birational maps of \(\mathbb P^k\) ⋮ Equilibrium measures of meromorphic self-maps on non-Kähler manifolds

Cites Work

• Singular sets of minimizers for the Mumford-Shah functional
• Sobolev spaces on Riemannian manifolds
• Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)
• Unnamed Item
• Unnamed Item

This page was built for publication: Decay of correlations and the central limit theorem for meromorphic maps