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Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on $\mathbb Z^d$

Published 27 Sep 2023 in math-ph, math.AP, math.DS, and math.MP | (2309.15706v1)

Abstract: Using a Birkhoff normal form transform to impede mode transfer in a finite "barrier", we prove localization of arbitrary $\ell2$ data for polynomially long time for the nonlinear quasi-periodic Schr\"odinger equation on $\mathbb Zd$.

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