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