On the Number of Nodal Domains of Toral Eigenfunctions-Reference-Cited by-同舟云学术

On the Number of Nodal Domains of Toral Eigenfunctions

Published:2016-03-28 Issue:11 Volume:17 Page:3027-3062
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Buckley Jeremiah,Wigman Igor

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00023-016-0476-7.pdf

Reference12 articles.

1. Bérard, P., Helffer, B.: Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and A. Pleijel’s analyses. arXiv:1402.6054 [math.AP]

2. Bombieri E., Bourgain J.: A problem on sums of two squares. IMRN 11, 3343–3407 (2015)

3. Bourgain J.: On toral eigenfunctions and the random wave model. Israel J. Math. 201(2), 611–630 (2014)

4. Billingsley, P.: Probability and Measure, 3rd edn., Wiley Series in Probability and Mathematical Statistics. Wiley, New York (1995)

5. Billingsley, P.: Convergence of Probability Measures, 2nd edn., Wiley Series in Probability and Statistics: Probability and Statistics. Wiley, New York (1999)

Cited by 19 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the universality of the Nazarov-Sodin constant;Electronic Journal of Probability;2024-01-01

2. Asymptotic Nodal Length and Log-Integrability of Toral Eigenfunctions;Communications in Mathematical Physics;2023-05-29

3. Concentration of the number of intersections of random eigenfunctions on flat tori;Proceedings of the American Mathematical Society;2023-04-13

4. Almost-sure asymptotics for Riemannian random waves;Bernoulli;2023-02-01

5. Fluctuations in Salem–Zygmund almost sure Central Limit Theorem;Electronic Journal of Probability;2023-01-01