From nodal points to non-equidistribution at the Planck scale

In this note, we make an observation that Laplacian eigenfunctions fail equidistribution at the Planck scale. Furthermore, equidistribution at the same scale also fails around the points where the eigenfunctions have large values.

Bibliographic Details
Main Author: Han, Xiaolong
Format: Article
Language:English
Published: Académie des sciences 2022-05-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.311/