Reminder: prof. Sadel's seminar tomorrow

[Emanuele Tuillier Illingworth]

SISSA, Friday 3rd of July 11.00-12.00 room 136

Speaker: C. Sadel, Institute of Science and Technology (IST) Austria
Title:  Limiting SDEs for products of random matrices in a critical 
scaling and GOE statistics for the Anderson model on long boxes.
joint work with Balint Virag

Abstract: We consider a distribution of random matrices that are small 
perturbations of a fixed, non-random matrix T. The random part is 
coupled with a small parameter.
Then we take i.i.d. copies and study the products of these random 
matrices in a critical scaling limit where the coupling parameter goes 
to zero and the number of factors to infinity.
Using adequate Schur complements and subtracting fast rotations, one can 
describe the behaviour of the random products by Stochastic differential 
equations (SDE) in the limit.
This can be used to study limiting statistics for the eigenvalues of 
random Schrödinger operators on strips.