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math.SP2020
Convergence of perturbation series for unbounded monotone quasiperiodic operators
Ilya Kachkovskiy, Leonid Parnovski, Roman Shterenberg
We consider a class of unbounded quasiperiodic Schrödinger-type operators on with monotone potentials (akin to the Maryland model) and show that the Rayleigh-…
math.SP2020★ 3 cited
On the relation between strong ballistic transport and exponential dynamical localization
Ilya Kachkovskiy
We establish strong ballistic transport for a family of discrete quasiperiodic Schrödinger operators as a consequence of exponential dynamical localization for the dual family. The…