20 citations · 46 across the 15 of their papers we have counts for
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math.SP2013★ 5 cited
Spectral band localization for Schrödinger operators on periodic graphs
Evgeny Korotyaev, Natalia Saburova
We consider Schrödinger operators on periodic discrete graphs. It is known that the spectrum of these operators has band structure. We obtain a localization of spectral bands in te…
math.SP2013
Schrödinger operators on periodic discrete graphs
Evgeny Korotyaev, Natalia Saburova
We consider Schrödinger operators with periodic potentials on periodic discrete graphs. The spectrum of the Schrödinger operator consists of an absolutely continuous part (a union…
math.SP2013★ 4 cited
Laplacians on periodic discrete graphs
Andrey Badanin, Evgeny Korotyaev, Natalia Saburova
We consider Laplacians on -periodic discrete graphs. The following results are obtained: 1) The Floquet-Bloch decomposition is constructed and basic properties are derived. 2…