Quantum ergodicity for pseudo-Laplacians

Elie Studnia
Université PSL, CNRS, Paris; Université de Paris; Sorbonne Université, Paris, France

This article is published open access under our Subscribe to Open model.

Abstract

We prove quantum ergodicity for the eigenfunctions of the pseudo-Laplacian on surfaces with hyperbolic cusps and ergodic geodesic flows.

Elie Studnia, Quantum ergodicity for pseudo-Laplacians. J. Spectr. Theory 11 (2021), no. 4, pp. 1599–1626