### Long time Anderson localization for the nonlinear random Schroedinger equation

**Wang, WM ***(Université Paris-Sud 11 )*

Monday 15 December 2008, 15:30-16:30

Seminar Room 1, Newton Institute

#### Abstract

We prove long time Anderson localization for the nonlinear random Schroedinger equation, giving an answer to a widely debated question in the physics community. I will conjecture Arnold type diffusion in the infinite time limit, which is also supported by my work on the time dependent linear Schroedinger equation on the circle.

#### Presentation

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