On the spectral theory and dynamics of asymptotically hyperbolic manifolds
Spectral Theory
2020-12-14 v1 Mathematical Physics
Differential Geometry
Dynamical Systems
math.MP
Abstract
We present a brief survey of the spectral theory and dynamics of infinite volume asymptotically hyperbolic manifolds. Beginning with their geometry and examples, we proceed to their spectral and scattering theories, dynamics, and the physical description of their quantum and classical mechanics. We conclude with a discussion of recent results, ideas, and conjectures.
Keywords
Cite
@article{arxiv.2012.06503,
title = {On the spectral theory and dynamics of asymptotically hyperbolic manifolds},
author = {Julie Rowlett},
journal= {arXiv preprint arXiv:2012.06503},
year = {2020}
}
Comments
This is a preliminary version of the article published in Annales de l'Institut Fourier. The final version is freely available online!