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arXiv · 2407.15418

Mixing and CLT for H\'enon-Sibony maps: plurisubharmonic observables

Marco Vergamini·Hao Wu
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Abstract

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) plurisubharmonic observables, and that all plurisubharmonic functions satisfy the central limit theorem with respect to $\mu$. Our results hold more generally for every H\'enon-Sibony map on $\mathbb{C}^k$.

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Marco Vergamini, Hao Wu. 2024-07-22. Mixing and CLT for H\'enon-Sibony maps: plurisubharmonic observables. https://arxiv.org/abs/2407.15418

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