On the number of excursion sets of planar Gaussian fields

DOI10.1007/s00440-020-00984-9zbMath1469.60163arXiv1807.10209OpenAlexW3039712416MaRDI QIDQ2210739

Michael McAuley, Stephen Muirhead, Dmitri B. Beliaev

Publication date: 8 November 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10209

zbMATH Keywords

critical pointslevel setsnodal setGaussian fields

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Critical points of functions and mappings on manifolds (58K05)

Related Items (9)

Fluctuations of the number of excursion sets of planar Gaussian fields ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ 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 ⋮ The phase transition for planar Gaussian percolation models without FKG ⋮ Smooth Gaussian fields and percolation ⋮ On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields ⋮ Smoothness and monotonicity of the excursion set density of planar Gaussian fields ⋮ Fluctuations in the number of nodal domains

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