23 citations · 65 across the 19 of their papers we have counts for
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math-ph2020★ 3 cited
Ballistic transport for one-dimensional quasiperiodic Schrödinger operators
Lingrui Ge, Ilya Kachkovskiy
In this paper, we show that one-dimensional discrete multi-frequency quasiperiodic Schrödinger operators with smooth potentials demonstrate ballistic motion on the set of energies…
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…