48 citations · 95 across the 17 of their papers we have counts for
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math.SP2018★ 1 cited
An index theorem for Schrödinger operators on metric graphs
Yuri Latushkin, Selim Sukhtaiev
We show that the spectral flow of a one-parameter family of Schrödinger operators on a metric graph is equal to the Maslov index of a path of Lagrangian subspaces describing the ve…
math.SP2018★ 48 cited
Limits of Quantum Graph Operators With Shrinking Edges
Gregory Berkolaiko, Yuri Latushkin, Selim Sukhtaiev
We address the question of convergence of Schrödinger operators on metric graphs with general self-adjoint vertex conditions as lengths of some of graph's edges shrink to zero. We…
math.SP2018
Anderson Localization for Radial Tree Graphs With Random Branching Numbers
David Damanik, Selim Sukhtaiev
We prove Anderson localization for the discrete Laplace operator on radial tree graphs with random branching numbers. Our method relies on the representation of the Laplace operato…