Geodesic
Entropy and the localization of eigenfunctions
Nalini Anantharaman1
1 Centre de Mathématiques Laurent Schwartz<br/>Ecole Polytechnique<br/>91128 Palaiseau<br/>France
Annals of mathematics, Tome 168 (2008) no. 2, pp. 435-475.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We study the large eigenvalue limit for the eigenfunctions of the Laplacian, on a compact manifold of negative curvature — in fact, we only assume that the geodesic flow has the Anosov property. In the semi-classical limit, we prove that the Wigner measures associated to eigenfunctions have positive metric entropy. In particular, they cannot concentrate entirely on closed geodesics.
DOI : 10.4007/annals.2008.168.435

Nalini Anantharaman 1

1 Centre de Mathématiques Laurent Schwartz<br/>Ecole Polytechnique<br/>91128 Palaiseau<br/>France 
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Nalini Anantharaman. Entropy and the localization of eigenfunctions. Annals of mathematics, Tome 168 (2008) no. 2, pp. 435-475. doi : 10.4007/annals.2008.168.435. http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.168.435/

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