Fractal Weyl laws for asymptotically hyperbolic manifolds

For asymptotically hyperbolic manifolds with hyperbolic trapped sets we prove a fractal upper bound on the number of resonances near the essential spectrum, with power determined by the dimension of the trapped set. This covers the case of general convex cocompact quotients (including the case of co...

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Bibliographic Details
Main Authors: Datchev, Kiril, Dyatlov, Semyon
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Basel 2016
Online Access:http://hdl.handle.net/1721.1/104012

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