Entropy of eigenfunctions
Mathematical Physics
2007-05-23 v1 Dynamical Systems
math.MP
Chaotic Dynamics
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.
Cite
@article{arxiv.0704.1564,
title = {Entropy of eigenfunctions},
author = {Nalini Anantharaman and Herbert Koch and Stéphane Nonnenmacher},
journal= {arXiv preprint arXiv:0704.1564},
year = {2007}
}