Analysis Seminar

Local eigenvalue statistics of random band matrices

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.

Date & Time

February 28, 2018 | 1:30pm – 2:30pm

Location

Simonyi Hall 101

Speakers

Tatyana Shcherbina

Affiliation

Princeton University

Event Series

Categories