For non-integrable NLS on R, the paper proves existence of space-time quasi-periodic, infinite-energy, smooth solutions with two frequencies for a large Cantor set of parameters.
Anderson localization for multi-frequency quasi-periodic operators on $\mathbb{Z}^d$
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abstract
We establish Anderson localization for general analytic $k$-frequency quasi-periodic operators on $\mathbb{Z}^d$ for \textit{arbitrary} $k,d$.
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2019 1verdicts
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Infinite energy quasi-periodic solutions to nonlinear Schr\"odinger equations on $\mathbb R$
For non-integrable NLS on R, the paper proves existence of space-time quasi-periodic, infinite-energy, smooth solutions with two frequencies for a large Cantor set of parameters.