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Theses

Délocalisation des mesures semi-classiques pour des systèmes dynamiques chaotiques

Abstract : In this thesis, we study two models of quantum chaos: the one corresponding to linear symplectomorphisms of the torus and the one associated to the geodesic flow on a compact riemannian manifold. In both cases, we study the quantum ergodicity problem. The results are of two types. First, we obtain lower bounds on the metric entropy of semiclassical measures in dimension 2. Then, we prove results of semiclassical large deviations in any dimension.
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Contributor : Gabriel Rivière <>
Submitted on : Tuesday, December 1, 2009 - 4:52:59 PM
Last modification on : Sunday, December 1, 2019 - 11:18:05 AM
Long-term archiving on: : Tuesday, October 16, 2012 - 3:11:08 PM

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Gabriel Riviere. Délocalisation des mesures semi-classiques pour des systèmes dynamiques chaotiques. Mathématiques [math]. Ecole Polytechnique X, 2009. Français. ⟨tel-00437912⟩

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