Entropy of eigenfunctions

2007/04/12 by Nalini Anantharaman, Herbert Koch, Anantharaman, Nalini +3 · 1 citation
Mathematics · Physics and Astronomy · #37D35 #37D40 #81Q20 #81Q50 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DS #math.MP #msc:37D35 #msc:37D40 #msc:81Q20 #msc:81Q50 #nlin.CD

paper · pdf · doi:10.48550/arxiv.0704.1564

arxiv created 2007/04/12 · arxiv updated 2009/12/01

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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