62 citations · 366 across the 29 of their papers we have counts for
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math-ph2021
The almost periodic gauge transform -- An abstract scheme with applications to Dirac Operators
Jean Lagacé, Sergey Morozov, Leonid Parnovski +2
One of the main tools used to understand both qualitative and quantitative spectral behaviour of periodic and almost periodic Schrödinger operators is the method of gauge transform…
math-ph2021
Ballistic Transport for Schrödinger Operators with Quasi-periodic Potentials
Yulia Karpeshina, Leonid Parnovski, Roman Shterenberg
We prove the existence of ballistic transport for a Schrödinger operator with a generic quasi-periodic potential in any dimension .
math.SP2021★ 4 cited
Perturbative diagonalisation for Maryland-type quasiperiodic operators with flat pieces
Ilya Kachkovskiy, Stanislav Krymski, Leonid Parnovski +1
We consider quasiperiodic operators on with unbounded monotone sampling functions ("Maryland-type"), which are not required to be strictly monotone and are allowed to…