23 citations · 65 across the 19 of their papers we have counts for
Showing 2026Show all
2 papers · 1 filter
math.SP2026
Smooth perturbation theory and generic Cantor spectrum for multi-dimensional monotone quasiperiodic operators
Ilya Kachkovskiy, Leonid Parnovski, Roman Shterenberg
We consider multi-dimensional quasiperiodic Schrödinger operators with monotone sawtooth-type potentials in the perturbative localization regime. We prove that a given gap is close…
math.SP2026
On almost commuting matrices with respect to the normalized Hilbert--Schmidt norm
Mohit Bansil, Ilya Kachkovskiy
In this paper, we consider the Rosenthal -- Halmos problem of almost commuting matrices with respect to the normalized Hilbert -- Schmidt norm …