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• W3129742679 abstract "We study the spectra of quantum trees of finite cone type. These are quantum graphs whose geometry has a certain homogeneity, and which carry a finite set of edge lengths, coupling constants and potentials on the edges. We show the spectrum consists of bands of purely absolutely continuous spectrum, along with a discrete set of eigenvalues. Afterwards, we study random perturbations of such trees, at the level of edge length and coupling, and prove the stability of pure AC spectrum, along with resolvent estimates." @default.
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• W3129742679 date "2021-02-18" @default.
• W3129742679 modified "2023-10-07" @default.
• W3129742679 title "Absolutely Continuous Spectrum for Quantum Trees" @default.
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• W3129742679 doi "https://doi.org/10.1007/s00220-021-03994-3" @default.
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