no. G5
Théorie spectrale
From nodal points to non-equidistribution at the Planck scale
Han, Xiaolong1 
1 Department of Mathematics, California State University, Northridge, CA 91330, USA
Comptes Rendus. Mathématique, Tome 360 (2022) no. G5, 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.

Reçu le :
Révisé le :
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DOI : 10.5802/crmath.311
Classification : 35P20, 58J50
Han, Xiaolong 1

1 Department of Mathematics, California State University, Northridge, CA 91330, USA 
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Han, Xiaolong. From nodal points to non-equidistribution at the Planck scale. Comptes Rendus. Mathématique, Tome 360 (2022) no. G5, pp. 451-458. doi : 10.5802/crmath.311. http://www.numdam.org/articles/10.5802/crmath.311/

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