From nodal points to non-equidistribution at the Planck scale
Analysis of PDEs
2021-12-09 v2 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2007.04569,
title = {From nodal points to non-equidistribution at the Planck scale},
author = {Xiaolong Han},
journal= {arXiv preprint arXiv:2007.04569},
year = {2021}
}
Comments
8 pages, incorporated referee comments and improved the presentation