Nontrapping surfaces of revolution with long living resonances

We study resonances of surfaces of revolution obtained by removing a disk from a cone and attaching a hyperbolic cusp in its place. These surfaces include ones with nontrapping geodesic flow (every maximally extended non-reflected geodesic is unbounded) and yet infinitely many long living resonances...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2014-11
Main Authors: Datchev, Kiril R, Kang, Daniel D, Kessler, Andre P
Format: Article
Language:English
Subjects:
Decay rate
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study resonances of surfaces of revolution obtained by removing a disk from a cone and attaching a hyperbolic cusp in its place. These surfaces include ones with nontrapping geodesic flow (every maximally extended non-reflected geodesic is unbounded) and yet infinitely many long living resonances (resonances with uniformly bounded imaginary part, i.e. decay rate).
ISSN:2331-8422