Ruelle and Quantum Resonances for Open Hyperbolic Manifolds

Published 3 Aug 2017 in math.DS, math.DG, and math.SP | (1708.01200v1)

Abstract: We establish a direct classical-quantum correspondence on convex cocompact hyperbolic manifolds between the spectrums of the geodesic flow and the Laplacian acting on natural tensor bundles. This extends previous work detailing the correspondence for cocompact quotients.

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Authors (1)

Charles Hadfield

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