Absolutely continuous spectrum for the Anderson model on a product of a tree with a finite graph

2010/08/17 by Froese, Richard, Halasan, Florina, Hasler, David
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1008.2949

Abstract

We prove the almost sure existence of absolutely continuous spectrum at low disorder for the Anderson model on the simplest example of a product of a regular tree with a finite graph. This graph contains loops of unbounded size.

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