Eigenvalue Statistics for Ergodic Localization

4:00 pm Thursday, November 12, 2009
Svetlana Jitomirskaya (UC Irvine)

So far eigenvalue statistics for Schrodinger operators with pure point spectrum have been studied and proved only in case of random potentials. In the talk I will describe and sketch a proof of the first deterministic result in this direction and discuss some numerical evidence towards a conjecture on what the distribution is in general ergodic situation. The talk should be accessible to anyone with basic (passive) knowledge of random processes. It is based on joint work with A. Avila and V. Mandelshtam

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