Exponential mixing of all orders and CLT for generic birational maps of $\mathbb{P}^k$
| Autor: | De Thélin, Henry, Vigny, Gabriel |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 and Gorodnik, the CLT for H\"older observables. We extend their results to generic birational maps of $\mathbb{P}^k$. Because of the indeterminacy set, H\"older maps are not stable under iteration, so we need to work with a suitable space of test functions. |
| Databáze: | arXiv |
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