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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
Delocalization of quasimodes on the disk
Nalini Anantharaman, Matthieu Léautaud, Fabricio Macià
This note deals with semiclassical measures associated to {(sufficiently accurate)} quasimodes for the Laplace-Dirichlet operator on the disk. In this time-independent set-…