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

Published online by Cambridge University Press:  17 September 2021

HAO WU
HAO WU*
Affiliation:
Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore119076
*
(e-mail: e0011551@u.nus.edu)
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Abstract

Let f be a Hénon–Sibony map, also known as a 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 observables.

Keywords

equilibrium measureexponential mixingpositive closed current
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 42 , Issue 12 , December 2022 , pp. 3818 - 3830
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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