Abstract

Abstract:

For manifolds Euclidian at infinity, we show that for some compact perturbations of the Laplacian with hyperbolic classical trapped set, there are strips below the real axis where the resonance counting function grows sub-linearly. We also provide an inverse result, showing that the knowledge of the scattering poles can give some information about the Hausdorff dimension of the trapped set when the classical flow satisfies the Axiom-A condition.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 757-812
Launched on MUSE
2019-05-17
Open Access
No
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