46 citations · 126 across the 26 of their papers we have counts for
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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.AP2015
Concentration and non-concentration for the Schrödinger evolution on Zoll manifolds
Fabricio Macià, Gabriel Rivière
We study the long time dynamics of the Schrödinger equation on Zoll manifolds. We establish criteria under which the solutions of the Schrödinger equation can or cannot concentrate…
math.AP2015
Quantitative equidistribution properties of toral eigenfunctions
Hamid Hezari, Gabriel Riviere
We prove quantitative equidistribution properties for orthonormal bases of eigenfunctions of the Laplacian on the rational -torus. We show that the rate of equidistribution of s…