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Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-strips

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Abstract

We consider cross products of finite graphs with a class of trees that have arbitrarily but finitely long line segments, such as the Fibonacci tree. Such cross products are called tree-strips. We prove that for small disorder random Schrödinger operators on such tree-strips have purely absolutely continuous spectrum in a certain set.

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Authors and Affiliations

  1. Mathematics Department, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada

    Christian Sadel

  2. Institute of Science and Technology Austria, 3400, Klosterneuburg, Austria

    Christian Sadel

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  1. Christian Sadel
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Correspondence to Christian Sadel.

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Sadel, C. Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-strips. Math Phys Anal Geom 17, 409–440 (2014). https://doi.org/10.1007/s11040-014-9163-4

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  • DOI: https://doi.org/10.1007/s11040-014-9163-4

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