70 citations · 121 across the 5 of their papers we have counts for
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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…
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…
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…
Quantum Ergodicity and Averaging Operators on the Sphere
Shimon Brooks, Etienne Le Masson, Elon Lindenstrauss
We prove quantum ergodicity for certain orthonormal bases of , consisting of joint eigenfunctions of the Laplacian on and the discrete averaging o…
Pseudo-differential calculus on homogeneous trees
Etienne Le Masson
In the objective of studying concentration and oscillation properties of eigenfunctions of the discrete Laplacian on regular graphs, we construct a pseudo-differential calculus on…