Betti numbers of random nodal sets of elliptic pseudo-differential operators

DOI10.4310/AJM.2017.v21.n5.a2zbMath1394.58011arXiv1406.0934MaRDI QIDQ1693280

Damien Gayet, Jean-Yves Welschinger

Publication date: 12 February 2018

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0934

zbMATH Keywords

random matrixpseudo-differential operatorrandom nodal sets

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random matrices (probabilistic aspects) (60B20) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (11)

Equidistribution of the conormal cycle of random nodal sets ⋮ Weighted local Weyl laws for elliptic operators ⋮ Universal components of random nodal sets ⋮ Asymptotic topology of excursion and nodal sets of Gaussian random fields ⋮ Local universality for zeros and critical points of monochromatic random waves ⋮ Direction distribution for nodal components of random band-limited functions on surfaces ⋮ Tangent nodal sets for random spherical harmonics ⋮ Percolation of random nodal lines ⋮ Expected number of nodal components for cut‐off fractional Gaussian fields ⋮ Monochromatic Random Waves for General Riemannian Manifolds ⋮ Persistence barcodes and Laplace eigenfunctions on surfaces

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