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arXiv · 1710.02293

Random Schr\"odinger Operators on discrete structures

Constanza Rojas-Molina
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Abstract

The Anderson model serves to study the absence of wave propagation in a medium in the presence of impurities, and is one of the most studied examples in the theory of quantum disordered systems. In these notes we give a review of the spectral and dynamical properties of the Anderson Model on discrete structures, like the $d$-dimensional square lattice and the Bethe lattice, and the methods used to prove localization. These notes are based on a course given at the CIMPA School "Spectral Theory of Graphs and Manifolds" in Kairouan, 2016.

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Constanza Rojas-Molina. 2017-10-06. Random Schr\"odinger Operators on discrete structures. https://arxiv.org/abs/1710.02293

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