MATH Seminar
| Title: Asymptotics of Resonances for Radial Potential Scattering in Hyperbolic Space |
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| Defense: Dissertation |
| Speaker: Catherine Crompton of Emory University |
| Contact: Catherine Crompton, lcrompt@emory.edu |
| Date: 2012-06-14 at 1:00PM |
| Venue: W306 |
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| Abstract: It is shown that for scattering by a spherically symmetric potential with compact support in $\mathbb{H}^{n+1}$, the resonance counting function $N(r)$ is asymptotic to $Cr^{n+1}$. $C$ is found explicitly, and is shown to depend only on the dimension and the radius of support of the potential. |
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