Dynamics of geodesics, and Maass cusp forms
Dynamical Systems
2020-11-20 v2 Number Theory
Spectral Theory
Abstract
The correspondence principle in physics between quantum mechanics and classical mechanics suggests deep relations between spectral and geometric entities of Riemannian manifolds. We survey---in a way intended to be accessible to a wide audience of mathematicians---a mathematically rigorous instance of such a relation that emerged in recent years, showing a dynamical interpretation of certain Laplace eigenfunctions of hyperbolic surfaces.
Cite
@article{arxiv.1906.01067,
title = {Dynamics of geodesics, and Maass cusp forms},
author = {A. Pohl and D. Zagier},
journal= {arXiv preprint arXiv:1906.01067},
year = {2020}
}
Comments
30 pages, 17 figures