Charlie Smart (University of Chicago)

Title: Unique continuation and localization on the planar lattice.

Abstract: 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.