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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-…
math.AP2012
Long-time dynamics of completely integrable Schrödinger flows on the torus
Nalini Anantharaman, Clotilde Fermanian-Kammerer, Fabricio Macià
In this article, we are concerned with long-time behaviour of solutions to a semi-classical Schrödinger-type equation on the torus. We consider time scales which go to infinity whe…