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arXiv · 1906.01067

Dynamics of geodesics, and Maass cusp forms

A. Pohl·D. Zagier
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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.

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A. Pohl, D. Zagier. 2019-06-03. Dynamics of geodesics, and Maass cusp forms. https://arxiv.org/abs/1906.01067

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