Dynamics of geodesics, and Maass cusp forms
Anke Pohl
Universität Bremen, GermanyDon B. Zagier
Max-Planck-Institut für Mathematik, Bonn, Germany
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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 this article
Anke Pohl, Don B. Zagier, Dynamics of geodesics, and Maass cusp forms. Enseign. Math. 66 (2020), no. 3/4, pp. 305–340
DOI 10.4171/LEM/66-3/4-2