Ruelle and Quantum Resonances for Open Hyperbolic Manifolds
Dynamical Systems
2017-08-04 v1 Differential Geometry
Spectral Theory
Abstract
We establish a direct classical-quantum correspondence on convex cocompact hyperbolic manifolds between the spectrums of the geodesic flow and the Laplacian acting on natural tensor bundles. This extends previous work detailing the correspondence for cocompact quotients.
Keywords
Cite
@article{arxiv.1708.01200,
title = {Ruelle and Quantum Resonances for Open Hyperbolic Manifolds},
author = {Charles Hadfield},
journal= {arXiv preprint arXiv:1708.01200},
year = {2017}
}
Comments
24 pages