Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces

Hao Wu

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arXiv · 2512.10852

Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces

Hao Wu

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Abstract

We obtain the asymptotic behavior of hole probability for random holomorphic sections on a compact Riemann surface with respect to the hole size.

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Hao Wu. 2025-12-11. Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces. https://arxiv.org/abs/2512.10852

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