For analytic multi-frequency quasi-periodic operators on Z^d, Anderson localization holds at strong coupling for arbitrary number of frequencies and dimension when the phase space dimension is at least d.
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Anderson localization for multi-frequency quasi-periodic operators on $\mathbb{Z}^d$
For analytic multi-frequency quasi-periodic operators on Z^d, Anderson localization holds at strong coupling for arbitrary number of frequencies and dimension when the phase space dimension is at least d.