3 papers
math.SP2020
Quantum ergodicity for Eisenstein series on hyperbolic surfaces of large genus
Etienne Le Masson, Tuomas Sahlsten
We give a quantitative estimate for the quantum mean absolute deviation on hyperbolic surfaces of finite area in terms of geometric parameters such as the genus, number of cusps an…
math.SP2018
Eigenfunctions and Random Waves in the Benjamini-Schramm limit
Miklos Abert, Nicolas Bergeron, Etienne Le Masson
We investigate the asymptotic behavior of eigenfunctions of the Laplacian on Riemannian manifolds. We show that Benjamini-Schramm convergence provides a unified language for the le…
math.SP2016
Quantum ergodicity and Benjamini-Schramm convergence of hyperbolic surfaces
Etienne Le Masson, Tuomas Sahlsten
We present a quantum ergodicity theorem for fixed spectral window and sequences of compact hyperbolic surfaces converging to the hyperbolic plane in the sense of Benjamini and Schr…