THIS SEMINAR HAS BEEN RESCHEDULED TO A LATER TIME, NAMELY 16:00. I PRESUME THE PLACE OF THE LECTURE HAS NOT BEEN CHANGED. M.C. The Weizmann Institute of Science Faculty of Mathematics and Computer Science Geometric Functional Analysis and Probability Seminar Physics Building, Room A on Wednesday, January 16, 2013 NOW RESCHEDULED TO BE AT 16:00 Joint with the statistical physics seminar Note the unusual time and location Michael Aizenman Princeton University will speak on `Ergodicity Hypothesis' breakdown in Random Schroedinger Operators Abstract: Of current research interest in the area concerning the disorder effects on the dynamics under random Schroedinger operators is the occurrence of energy regimes (phases) in which extended states are formed from resonating local quasi-modes. The corresponding eigenstates are "non-ergodic", in the sense that they violate a heuristic version of the equidistribution principle, yet they do not exhibit Anderson localization. Such phases were proven to occur in the random Schroedinger operator on tree graphs (in a joint work with Simone Warzel), and are also expected to show up in many-particle systems which are the subject of ongoing work (with SW and Mira Shamis). --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Gady Kozma <gady.kozma@weizmann.ac.il>