Ergodic properties of families of Hénon maps
Volume 121 / 2018
Annales Polonici Mathematici 121 (2018), 45-71
MSC: Primary 37F45.
DOI: 10.4064/ap170928-2-4
Published online: 15 June 2018
Abstract
Let $\{ H_{\lambda } \}$ be a continuous family of Hénon maps parametrized by $\lambda \in M$, where $M \subset \mathbb C^k$ is compact. The purpose of this paper is to understand some aspects of the random dynamical system obtained by iterating maps from this family. As an application, we study skew products of Hénon maps and obtain lower bounds for their entropy.
