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arXiv · 2405.13838

Equidistribution of graphs of holomorphic correspondences

Muhan Luo
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Abstract

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 $X\times X$.

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Muhan Luo. 2024-05-22. Equidistribution of graphs of holomorphic correspondences. https://doi.org/10.1090/proc%2F17198

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