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20162026
most citedThe Duistermaat index and eigenvalue interlacing for self-adjoint extensions of a symmetric operator

1 citations · 1 across the 9 of their papers we have counts for

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Showing 2018 · math.SPShow all

3 papers · 2 filters

math.SP2018

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

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…