Entropy of eigenfunctions

Details Entropy of eigenfunctions Entropy of eigenfunctions

2007-04-12

arxiv.org/abs/0704.1564v1

Physics

Mathematical Physics

Scientific paper

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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