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.