The Weizmann Institute of Science Faculty of Mathematics and Computer Science Guest Seminar Seminar Room, Room 261, Ziskind Building on Thursday, July 21, 2011 at 15:00 GEOMETRIC FUNCTIONAL ANALYSIS and PROBABILITY SEMINAR Please note unusual time Mira Shamis Institute for Advanced Study will speak on Some connections between almost periodic and periodic discrete Schroedinger operators with analytic potentials Abstract: We study discrete Schroedinger operators with analytic potentials. In particular, we are interested in the connection between the absolutely continuous spectrum in the almost periodic case and the spectra in the periodic case. We prove a weak form of a precise conjecture (due to Y. Last) relating the two. We also bound the measure of the spectrum in the periodic case in terms of the Lyapunov exponent in the almost periodic case. In the proofs, we use a partial generalization of Chambers' formula. Time perimitting, we shall show an additional application of this generalization: a proof of Herman's lower bound for the Lyapunov exponent. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Diana Mandelik <diana.mandelik@weizmann.ac.il>