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Eigenvalue statistics for ergodic localization
Probability| Speaker: | Svetlana Jitomirskaya, UC Irvine |
| Location: | 1147 MSB |
| Start time: | Wed, May 23 2012, 4:10PM |
Description
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.