Dynamics of geodesics, and Maass cusp forms

  • Anke Pohl

    Universität Bremen, Germany
  • Don B. Zagier

    Max-Planck-Institut für Mathematik, Bonn, Germany
Dynamics of geodesics, and Maass cusp forms cover

A subscription is required to access this article.

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