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Localization on a quantum graph with a random potential on the edges

Pavel Exner, Mario Helm, Peter Stollmann

math-pharXiv:math-ph/0612087

Abstract

We prove spectral and dynamical localization on a cubic-lattice quantum graph with a random potential. We use multiscale analysis and show how to obtain the necessary estimates in analogy to the well-studied case of random Schroedinger operators.

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