• Corpus ID: 232068740

# Entropy of logarithmic modes

@inproceedings{Eswarathasan2021EntropyOL,
title={Entropy of logarithmic modes},
author={Suresh Eswarathasan},
year={2021}
}
Consider (M, g) a compact, boundaryless Riemannian manifold admitting an Anosov geodesic flow. Let ε < min{1, λmax 2 } where λmax is the maximal expansion rate for (M, g). We study the semiclassical measures μsc of ε-logarithmic modes, which are quasimodes spectrally supported in intervals of width ε ~ | log ~| , of the Laplace-Beltrami operator on M . Under a technical assumption on the support of a signed measure related to μsc, we show that the lower bound for the Kolmogorov-Sinai entropy of…

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