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math.SP2019
Quantum ergodicity for pseudo-Laplacians
Elie Studnia
We prove quantum ergodicity for the eigenfunctions of the pseudo-Laplacian on Riemannian surfaces with finitely many hyperbolic cusps and ergodic geodesic flow.
math.AP2019★ 4 cited
Quantum Limits for Harmonic Oscillator
Elie Studnia
In this note we consider high energy eigenfunctions of the harmonic oscillator in and prove that any invariant measure on the energy surface can be written as a weak…