Fractal Weyl laws and wave decay for general trapping

We prove a Weyl upper bound on the number of scattering resonances in strips for manifolds with Euclidean infinite ends. In contrast with previous results, we do not make any strong structural assumptions on the geodesic flow on the trapped set (such as hyperbolicity) and instead use propagation sta...

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Bibliographic Details
Main Authors: Galkowski, Jeffrey, Dyatlov, Semen
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: IOP Publishing 2018
Online Access:http://hdl.handle.net/1721.1/115833
https://orcid.org/0000-0002-6594-7604