Entropy of semiclassical measures in dimension 2 (Q616586)
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| English | Entropy of semiclassical measures in dimension 2 |
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Entropy of semiclassical measures in dimension 2 (English)
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10 January 2011
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On a compact Riemannian surface with a geodesic flow of Anosov type the high energy asymptotic properties of the Laplacian are considered. It is shown that the Kolmogorov-Sinai entropy of a semiclassical measure for the geodesic flow is bounded from below by half of the Ruelle upper bound.
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Laplacian
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compact Riemannian surface
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Kolmogorov-Sinai entropy
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geodesic flow
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semiclassical measure
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