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arXiv · 0704.1564

Entropy of eigenfunctions

Nalini Anantharaman·Herbert Koch·Stéphane Nonnenmacher
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Abstract

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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Nalini Anantharaman, Herbert Koch, Stéphane Nonnenmacher. 2007-04-12. Entropy of eigenfunctions. https://arxiv.org/abs/0704.1564

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