Absolutely continuous spectrum for the Anderson model on a product of a tree with a finite graph
classification
🧮 math-ph
math.MP
keywords
graphabsolutelyandersoncontinuousfinitemodelproductspectrum
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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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