Non-universality of the Nazarov-Sodin constant

DOI10.1016/j.crma.2014.09.026zbMath1322.60064arXiv1406.7449OpenAlexW2023925838MaRDI QIDQ2256793

Pär Kurlberg, Igor Wigman

Publication date: 23 February 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7449

zbMATH Keywords

Gaussian random fieldNazarov-Sodin constantrandom toral Laplace eigenfunctions

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15)

Related Items

Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves ⋮ On the number of nodal domains of toral eigenfunctions ⋮ Unnamed Item

Cites Work

• On probability measures arising from lattice points on circles
• The distribution of the lattice points on circles
• Nodal length fluctuations for arithmetic random waves
• Topologies of Nodal Sets of Random Band‐Limited Functions
• Dirichlet Eigenfunctions of the Square Membrane: Courant’s Property, and A. Stern’s and Å. Pleijel’s Analyses
• On the number of nodal domains of random spherical harmonics
• Regular and irregular semiclassical wavefunctions