Comptes Rendus
Théorie spectrale
From nodal points to non-equidistribution at the Planck scale
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 451-458.

Dans cette note, on observe que les fonctions propres du laplacien ne sont pas équidistribuées à l’échelle de Planck. De plus, l’équidistribution à la même échelle n’est plus valable autour des points où les fonctions propres ont des valeurs grandes.

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.

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DOI : 10.5802/crmath.311
Classification : 35P20, 58J50

Xiaolong Han 1

1 Department of Mathematics, California State University, Northridge, CA 91330, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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Xiaolong Han. From nodal points to non-equidistribution at the Planck scale. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 451-458. doi : 10.5802/crmath.311. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.311/

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