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

Fuente: arXiv
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Autore principale: Wu, Hao
Natura: Preprint
Pubblicazione: 2025
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author Wu, Hao
author_facet Wu, Hao
contents We obtain the asymptotic behavior of hole probability for random holomorphic sections on a compact Riemann surface with respect to the hole size.
format Preprint
id arxiv_https___arxiv_org_abs_2512_10852
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces
Wu, Hao
Complex Variables
Probability
31A05, 32L10, 60D05
We obtain the asymptotic behavior of hole probability for random holomorphic sections on a compact Riemann surface with respect to the hole size.
title Asymptotics of hole probability regarding open balls for random sections on compact Riemann surfaces
topic Complex Variables
Probability
31A05, 32L10, 60D05
url https://arxiv.org/abs/2512.10852