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Uniform High-Frequency Localization on Quantum Graphs

Nguyen, Binh T.
arXiv (All) · Papers
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mathematical-physicsspectral-theory
We study uniform high-frequency localization for the Laplacian on compact metric graphs through the least $L^2$-mass that eigenfunctions must place in a prescribed measurable observation set. We first identify this asymptotic localization constant with the minimum of a linear functional over the att
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