Charles Smart : Unique continuation and localization on the planar lattice

Posted by Ian Tobasco , part of the Departmental Colloquium.

At

Sept. 6, 2019, 3 p.m.

In

636 SEO

Abstract

Anderson localization is a physical phenomenon in which electron transport is inhibited by the presence of disorder. The mathematical theory of Anderson localization has a large literature and many important open problems. I will discuss joint work with Jian Ding in which we establish localization near the edge for the Anderson Bernoulli model on the two dimensional lattice. Our proof follows the program of Bourgain--Kenig and uses a new unique continuation result inspired by Buhovsky--Logunov--Malinnikova--Sodin.