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Eigenvalue statistics for ergodic localization

Mathematical Physics & Probability

Speaker: Svetlana Jitomirskaya, UC Irvine
Location: 1147 MSB
Start time: Wed, May 23 2012, 4:10PM

So far spectral statistics for Jacobi matrices 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 (joint with A. Avila) and discuss some numerical evidence towards a conjecture on what the distribution is in the general ergodic situation.