The bifurcation measure is exponentially mixing
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911864867258368 |
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| author | de Thelin, Henry |
| author_facet | de Thelin, Henry |
| contents | We prove general mixing theorems for sequences of meromorphic maps on compact Kähler manifolds. We deduce that the bifurcation measure is exponentially mixing for a family of rational maps of $\mathbb{P}^q(\mathbb{C})$ endowed with suitably many marked points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The bifurcation measure is exponentially mixing de Thelin, Henry Dynamical Systems Complex Variables 37A25, 37F46, 37F80 We prove general mixing theorems for sequences of meromorphic maps on compact Kähler manifolds. We deduce that the bifurcation measure is exponentially mixing for a family of rational maps of $\mathbb{P}^q(\mathbb{C})$ endowed with suitably many marked points. |
| title | The bifurcation measure is exponentially mixing |
| topic | Dynamical Systems Complex Variables 37A25, 37F46, 37F80 |
| url | https://arxiv.org/abs/2405.01939 |