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Concentration inequalities for random matrix and operator eigenvalues

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In the random matrix theory it is often important to assess the probability that an eigenvalue comes close to a given point or that two (or more) eigenvalues come close to each other. I will address this question in the context of recent progress in the theory of random Schroedinger operators. No preliminary knowledge of Quantum Mechanics will be assumed.

This talk is part of the Probability series.

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