Entropy of eigenfunctions
classification
🧮 math-ph
math.DSmath.MPnlin.CD
keywords
boundeigenfunctionsentropyloweranantharaman-nonnenmachercasecompactcurvature
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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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