Ergodic properties of families of Hénon maps

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.

arXiv admin note: text overlap with arXiv:1507.07097