Random Sections of Line Bundles Over Real Riemann Surfaces

DOI10.1093/imrn/rnz051zbMath1474.14056arXiv1806.10481OpenAlexW2963053586WikidataQ128307529 ScholiaQ128307529MaRDI QIDQ3382661

Michele Ancona

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10481

zbMATH Keywords

Riemann surfacesreal zerossections of line bundles

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stochastic processes (60G99) Riemann surfaces; Weierstrass points; gap sequences (14H55) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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Cumulants asymptotics for the zeros counting measure of real Gaussian processes ⋮ Zeros of smooth stationary Gaussian processes ⋮ Roots of Kostlan polynomials: moments, strong law of large numbers and central limit theorem

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