Scattering from Sparse Potentials on Graphs

We study the spectral structure of Schrodinger operators H = Δ+V for random potentials supported on sparse sets. In the past years examples of such operators whose spectra almost surely satisfy the following properties have been exhibited: Anderson localization holds outside spec(Δ), while the wave...

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Published in:Журнал математической физики, анализа, геометрии
Date:2008
Main Author: Poulin, Ph.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/106499
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Scattering from Sparse Potentials on Graphs / Ph. Poulin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 151-170. — Бібліогр.: 29 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine