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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*
Affiliation:
Department of Mathematics, National University of Singapore, 10 Lower Kent Ridge Road, Singapore119076
*

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.

Type
Original Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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