Random Band Matrices
| MATHEMATICAL PHYSICS | |
| Topic: | Random Band Matrices |
| Speaker: | Jeffrey Schenker |
| Affiliation: | Member, School of Mathematics |
| Date: | Friday, November 10 |
| Time/Room: | 4:00pm - 5:00pm/S-101 |
Random band matrices have been proposed as an effective, or toy, model for a disorder induced localization-delocalization transition of eigenstates. Most results about these matrices, and the transition, are based on numerics or on calculations with a number of uncontrolled approximations. I will discuss this model and its context, presenting a number of interesting open problems, and discuss a rigorous bound on the localization length for eigenfunctions.