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arXiv:0704.1564 [math-ph]AbstractReferencesReviewsResources

Entropy of eigenfunctions

Nalini Anantharaman, Herbert Koch, Stéphane Nonnenmacher

Published 2007-04-12Version 1

We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.

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