46 citations · 126 across the 26 of their papers we have counts for
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math.SP2023
Asymptotic regularity of sub-Riemannian eigenfunctions in dimension 3: the periodic case
Gabriel Rivière
On the unit tangent bundle of a compact Riemannian surface of constant nonzero curvature, we study semiclassical Schr{ö}dinger operators associated with the natural sub-Riemannian…
math.SP2015
Equidistribution of the conormal cycle of random nodal sets
Nguyen Viet Dang, Gabriel Riviere
We study the asymptotic properties of the conormal cycle of nodal sets associated to a random superposition of eigenfunctions of the Laplacian on a smooth compact Riemannian manifo…
math.SP2012
Remarks on quantum ergodicity
Gabriel Riviere
We prove a generalized version of the Quantum Ergodicity Theorem on smooth compact Riemannian manifolds without boundary. We apply it to prove some asymptotic properties on the dis…