Localization for the random displacement model

Math Physics Seminar
Wednesday, February 2, 2011 - 4:30pm for 1 hour (actually 50 minutes)
Skiles 006
Michael Loss – Georgia Tech – loss@math.gatech.edu
Michael Loss
I'll talk about recent work, jointly with J. Baker, F. Klopp, S. Nakamura and G. Stolz concerning the random displacement model. I'll outline a proof of localization near the edge of the deterministic spectrum. Localization is meant in both senses, pure point spectrum with exponentially decaying eigenfunctions as well as dynamical localization. The proof relies on a well established multiscale analysis and the main problem is to verify the necessary ingredients, such as a Lifshitz tail estimate and a Wegner estimate.