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arxiv: 1107.1094 · v1 · pith:2KEBMZB4new · submitted 2011-07-06 · 🧮 math.SP · math-ph· math.MP

A Short Course on One-Dimensional Random Schr\"odinger Operators

classification 🧮 math.SP math-phmath.MP
keywords odingerone-dimensionaloperatorsrandomschrapproachapproachescollege
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We discuss various approaches to localization results for one-dimensional random Schr\"odinger operators, both discrete and continuum. We focus in particular on the approach based on F\"urstenberg's Theorem and the Kunz-Souillard method. These notes are based on a series of five one-hour lectures given at University College London in June/July 2011.

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