Equidistribution of graphs of holomorphic correspondences
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917532478210048 |
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| author | Luo, Muhan |
| author_facet | Luo, Muhan |
| contents | Let $X$ be a compact Riemann surface. Let $f$ be a holomorphic self-correspondence of $X$ with dynamical degrees $d_1$ and $d_2$. Assume that $d_1\neq d_2$ or $f$ is non-weakly modular. We show that the graphs of the iterates $f^n$ of $f$ are equidistributed exponentially fast with respect to a positive closed current in $X\times X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13838 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equidistribution of graphs of holomorphic correspondences Luo, Muhan Dynamical Systems Complex Variables Let $X$ be a compact Riemann surface. Let $f$ be a holomorphic self-correspondence of $X$ with dynamical degrees $d_1$ and $d_2$. Assume that $d_1\neq d_2$ or $f$ is non-weakly modular. We show that the graphs of the iterates $f^n$ of $f$ are equidistributed exponentially fast with respect to a positive closed current in $X\times X$. |
| title | Equidistribution of graphs of holomorphic correspondences |
| topic | Dynamical Systems Complex Variables |
| url | https://arxiv.org/abs/2405.13838 |