Restriction of 3D arithmetic Laplace eigenfunctions to a plane

DOI10.1214/20-EJP457zbMath1457.60073arXiv1907.09223MaRDI QIDQ782799

Riccardo W. Maffucci

Publication date: 29 July 2020

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09223

zbMATH Keywords

Gaussian random fieldsarithmetic random waveslattice points on spheresnodal intersectionsKac-Rice formulas

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Lattice points in specified regions (11P21)

Related Items (2)

Fluctuations of nodal sets on the 3-torus and general cancellation phenomena ⋮ Asymptotic distribution of nodal intersections for ARW against a surface

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