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Under a natural assumption on the dynamical degrees, we prove that the Green currents
associated to any H\'enon-like map in any dimension have H\" older continuous super …

We prove that horn maps associated to quadratic semi-parabolic fixed points of H\'enon
maps, first introduced by Bedford, Smillie, and Ueda, satisfy a weak form of the Ahlfors island …

Let $ f $ be a complex H\'enon map and $\mu $ its unique measure of maximal entropy. We
prove that $\mu $ is exponentially mixing of all orders for all (not necessarily bounded) …

arXiv:2312.03907v1 [math.DS] 6 Dec 2023 Page 1 HENON MAPS: A LIST OF OPEN
PROBLEMS by Julia Xénelkis de Hénon Abstract. — We propose a set of questions on the …

For H\'enon maps, Bianchi and Dinh recently proved the exponential mixing of all orders for
the measure of maximal entropy and, as a consequence of the recent work of Bj\" orklund …

We prove that horn maps associated to quadratic semi-parabolic fixed points of Hénon
maps, first introduced by Bedford, Smillie, and Ueda, satisfy a weak form of the Ahlfors island …

Hénon maps are among the most studied dynamical systems that exhibit interesting chaotic
behaviour. They were introduced by Michel Hénon in the real setting as a simplified m odel …