Mixing and CLT for Hénon-Sibony maps: plurisubharmonic observables
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913932879331328 |
|---|---|
| author | Vergamini, Marco Wu, Hao |
| author_facet | Vergamini, Marco Wu, Hao |
| contents | Let $f$ be a complex Hénon map and $μ$ its unique measure of maximal entropy. We prove that $μ$ 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 $μ$. Our results hold more generally for every Hénon-Sibony map on $\mathbb{C}^k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15418 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mixing and CLT for Hénon-Sibony maps: plurisubharmonic observables Vergamini, Marco Wu, Hao Complex Variables Dynamical Systems Let $f$ be a complex Hénon map and $μ$ its unique measure of maximal entropy. We prove that $μ$ 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 $μ$. Our results hold more generally for every Hénon-Sibony map on $\mathbb{C}^k$. |
| title | Mixing and CLT for Hénon-Sibony maps: plurisubharmonic observables |
| topic | Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2407.15418 |