Bérard, Pierre; Helffer, Bernard Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in \(\mathbb{R}^2\). (English) Zbl 1391.35020 Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 87-116 (2017). MSC: 35B05 35Q40 58J50 81Q05 35P05 PDF BibTeX XML Cite \textit{P. Bérard} and \textit{B. Helffer}, Contemp. Math. 700, 87--116 (2017; Zbl 1391.35020) Full Text: DOI
Bérard, P.; Helffer, B. A. Stern’s analysis of the nodal sets of some families of spherical harmonics revisited. (English) Zbl 1351.33014 Monatsh. Math. 180, No. 3, 435-468 (2016). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C55 35B05 58J50 35P20 PDF BibTeX XML Cite \textit{P. Bérard} and \textit{B. Helffer}, Monatsh. Math. 180, No. 3, 435--468 (2016; Zbl 1351.33014) Full Text: DOI
Lerario, Antonio; Lundberg, Erik Statistics on Hilbert’s 16th problem. (English) Zbl 1396.14049 Int. Math. Res. Not. 2015, No. 12, 4293-4321 (2015). Reviewer: Alexander Kovačec (Coimbra) MSC: 14P05 14P25 60D05 33C55 PDF BibTeX XML Cite \textit{A. Lerario} and \textit{E. Lundberg}, Int. Math. Res. Not. 2015, No. 12, 4293--4321 (2015; Zbl 1396.14049) Full Text: DOI arXiv
Magee, Michael Arithmetic, zeros, and nodal domains on the sphere. (English) Zbl 1354.11041 Commun. Math. Phys. 338, No. 3, 919-951 (2015). Reviewer: Dimitrios Chatzakos (Bristol) MSC: 11F72 11F25 PDF BibTeX XML Cite \textit{M. Magee}, Commun. Math. Phys. 338, No. 3, 919--951 (2015; Zbl 1354.11041) Full Text: DOI arXiv
Eremenko, Alexandre; Jakobson, Dmitry; Nadirashvili, Nikolai On nodal sets and nodal domains on \(S^2\) and \(\mathbb R^2\). (English) Zbl 1178.58012 Ann. Inst. Fourier 57, No. 7, 2345-2360 (2007). Reviewer: Ilka Agricola (Marburg) MSC: 58J50 11J70 35P20 81Q50 33C50 PDF BibTeX XML Cite \textit{A. Eremenko} et al., Ann. Inst. Fourier 57, No. 7, 2345--2360 (2007; Zbl 1178.58012) Full Text: DOI Numdam EuDML arXiv