Geometric and Computational Spectral Theory
Séminaire de Mathématiques Supérieures Geometric and Computational Spectral Theory 2015 Montréal, QuébecAlexandre GirouardMcGill University, Montréal, Québec, CanadaDmitry JakobsonUniversity of Reading, Reading, United KingdomMichael LevitinSimon Frasier University, Burnaby, British Columbia, CanadaNilima NigamIosif PolterovichRochon, Frédéric 1978-
2017en
ABI
Annotatsiya
We describe some basic tools in the spectral theory of Schr\"odinger operator on metric graphs (also known as "quantum graph") by studying in detail some basic examples. The exposition is kept as elementary and accessible as possible. In the later sections we apply these tools to prove some results on the count of zeros of the eigenfunctions of quantum graphs.
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