Local eigenvalue statistics of random band matrices

Analysis Seminar
Topic:Local eigenvalue statistics of random band matrices
Speaker:Tatyana Shcherbina
Affiliation:Princeton University
Date:Wednesday, February 28
Time/Room:1:30pm - 2:30pm/Simonyi Hall 101
Video Link:https://video.ias.edu/analysis/2018/0228-TatyanaShcherbina

Random band matrices (RBM) are natural intermediate models to study eigenvalue statistics and quantum propagation in disordered systems, since they interpolate between mean-field type Wigner matrices and random Schrodinger operators. In particular, RBM can be used to model the Anderson metal-insulator phase transition (crossover) even in 1d. In this talk we will discuss some recent progress in application of the supersymmetric method (SUSY) and transfer matrix approach to the analysis of local spectral characteristics of some specific types of RBM.