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Ergodic properties of families of Hénon maps (1708.06247v1)
Published 18 Aug 2017 in math.DS
Abstract: Let ${H_{\lambda}}$ be a continuous family of H\'{e}non maps parametrized by $\lambda\in M$, where $M\subset\mathbb Ck$ 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 H\'{e}non maps and obtain lower bounds for their entropy.