Decay of correlations for Henon maps

2004/09/20 by Tien‐Cuong Dinh, Tien-Cuong Dinh, Dinh, Tien-Cuong
Mathematics · #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math.CV #math.DS

paper · pdf · doi:10.48550/arxiv.math/0409356

12 pages

arxiv created 2004/09/20 · openalex publication_date 2004/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show, for a class of automorphisms of C^k, that their equilibrium measures are exponentially mixing. In particular, this holds for (generalized) Henon maps.

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