Fluctuations in the number of nodal domains

DOI10.1063/5.0018588zbMath1455.60060arXiv2006.07730OpenAlexW3116104921MaRDI QIDQ3386507

F. L. Nazarov, Mikhail Sodin

Publication date: 4 January 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07730

Mathematics Subject Classification ID

Gaussian processes (60G15) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (7)

Introduction to the Special Issue: In memory of Jean Bourgain ⋮ Fluctuations of the number of excursion sets of planar Gaussian fields ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ The expected nodal volume of non-Gaussian random band-limited functions, and their doubling index ⋮ Universality: random matrices, random geometry and SPDEs. Abstracts from the workshop held May 29 -- June 4, 2022 ⋮ On the universality of the Nazarov-Sodin constant ⋮ Smooth Gaussian fields and percolation

Cites Work

• Unnamed Item
• On the number of excursion sets of planar Gaussian fields
• Asymptotic Laws for the Spatial Distribution and the Number of Connected Components of Zero Sets of Gaussian Random Functions
• Fluctuations in Random Complex Zeroes: Asymptotic Normality Revisited
• On the number of nodal domains of random spherical harmonics

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