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• W2079303608 endingPage "1206" @default.
• W2079303608 startingPage "1145" @default.
• W2079303608 abstract "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 connected trapped sets) where our result implies a bound on the number of zeros of the Selberg zeta function in disks of arbitrary size along the imaginary axis. Although no sharp fractal lower bounds are known, the case of quasifuchsian groups, included here, is most likely to provide them." @default.
• W2079303608 created "2016-06-24" @default.
• W2079303608 creator A5026164936 @default.
• W2079303608 creator A5063035953 @default.
• W2079303608 date "2013-04-07" @default.
• W2079303608 modified "2023-10-13" @default.
• W2079303608 title "Fractal Weyl laws for asymptotically hyperbolic manifolds" @default.
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• W2079303608 doi "https://doi.org/10.1007/s00039-013-0225-8" @default.
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