195 citations · 1.2k across the 66 of their papers we have counts for
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math-ph2008★ 6 cited
Quasiperiodic surface Maryland models on quantum graphs
Konstantin Pankrashkin
We study quantum graphs corresponding to isotropic lattices with quasiperiodic coupling constants given by the same expressions as the coefficients of the discrete surface Maryland…
math-ph2008★ 10 cited
Localization on quantum graphs with random edge lengths
Frédéric Klopp, Konstantin Pankrashkin
The spectral properties of the Laplacian on a class of quantum graphs with random metric structure are studied. Namely, we consider quantum graphs spanned by the simple $\ZZ^d$-lat…
math-ph2008
Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications
Bernard Helffer, Konstantin Pankrashkin
The two-dimensional Schroedinger operator with a uniform magnetic field and a periodic zero-range potential is considered. For weak magnetic fields we reduce the spectral problem t…