20 citations · 46 across the 15 of their papers we have counts for
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math.SP2015
Magnetic Schrödinger operators on periodic discrete graphs
Evgeny Korotyaev, Natalia Saburova
We consider magnetic Schrödinger operators with periodic magnetic and electric potentials on periodic discrete graphs. The spectrum of the operators consists of an absolutely conti…
math.SP2015★ 20 cited
Scattering on periodic metric graphs
Evgeny Korotyaev, Natalia Saburova
We consider the Laplacian on a periodic metric graph and obtain its decomposition into a direct fiber integral in terms of the corresponding discrete Laplacian. Eigenfunctions and…
math.SP2015
Effective masses for Laplacians on periodic graphs
Evgeny Korotyaev, Natalia Saburova
We consider Laplacians on periodic both discrete and metric equilateral graphs. Their spectrum consists of an absolutely continuous part (which is a union of non-degenerate spectra…