On the number of nodal domains of toral eigenfunctions

DOI10.1007/s00023-016-0476-7zbMath1361.35051arXiv1511.04382OpenAlexW2173393401MaRDI QIDQ345051

Jeremiah Buckley, Igor Wigman

Publication date: 25 November 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04382

zbMATH Keywords

nodal domainsNazarov-Sodin constanttoral Laplace eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (19)

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• 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
• On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
• A Problem on Sums of Two Squares

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