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We establish Anderson localization for quasiperiodic operator families of the form
for all coupling constants and all Diophantine frequencies , provided that is a 1-periodic function satisfying a Lipschitz monotonicity condition on [0,1). The localization is uniform on any energy interval on which the Lyapunov exponent is bounded from below.
Cite this article
Svetlana Jitomirskaya, Ilya Kachkovskiy, All couplings localization for quasiperiodic operators with monotone potentials. J. Eur. Math. Soc. 21 (2018), no. 3, pp. 777–795