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math.SP2018★ 1 cited
Anderson localization for two interacting quasiperiodic particles
Jean Bourgain, Ilya Kachkovskiy
We consider a system of two discrete quasiperiodic 1D particles as an operator on and establish Anderson localization at large disorder, assuming the potentia…
math.SP2018
Localization for quasiperiodic operators with unbounded monotone potentials
Ilya Kachkovskiy
We establish non-perturbative Anderson localization for a wide class of 1D quasiperiodic operators with unbounded monotone potentials, extending the classical results on Maryland m…