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Long time Anderson localization for the nonlinear random Schroedinger equation

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Mathematics and Physics of Anderson localization: 50 Years After

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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