Localization for the random displacement model

Series: 
Math Physics Seminar
Wednesday, February 2, 2011 - 16:30
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
,  
Organizer: 
 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.