Exponential mixing property for Hénon-Sibony maps of ${\mathbb{C}}^k$

Abstract

Let $f$ be a Hénon-Sibony map (regular polynomial automorphism) of ${\mathbb{C}}^k$ and let $\mu$ be the equilibrium measure of $f$. In this paper we prove that $\mu$ is exponentially mixing for plurisubharmonic test functions.

References in corpus (2)

• Polynomial diffeomorphisms of C^2, IV: The measure of maximal entropy and laminar currents
• Exponential estimates for plurisubharmonic functions and stochastic dynamics