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Correlation functions for random Schrodinger operators

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Mathematics and Physics of Anderson localization: 50 Years After

Correlation functions are the expectations of moments of the spectral measures for random Schrodinger operators. They play a role in describing the transport properties of the system. This talk will review progress in understanding these moments with an emphasis on the first and second moments. These include the density of states, the current-current correlation functions, and second-order moments involved in the Minami estimate. The talk will present results that are joint work with J. Bellissard, J. M. Combes, F. Germinet, F. Klopp, O. Lenoble, P. Muller, and G. Stolz.

This talk is part of the Isaac Newton Institute Seminar Series series.

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