Anderson Localization in dimension two for singular noise, part three

Mathematical Physics and Analysis Working Seminar
Friday, March 10, 2023 - 12:00pm for 1 hour (actually 50 minutes)
Skiles 006
Omar Hurtado – UC Irvine
Burak Hatinoglu

Continuing from where we left off, we will go through the proof of the probabilistic unique continuation result in Ding-Smart (2018) for solutions of the eigenequation on large finite boxes in the two-dimensional lattice. We'll briefly discuss the free sites formalism necessary to carry out the multiscale analysis as well, before going through technical lemmas concerning bounds on solutions to our eigenequation on large finite rectangles in the lattice as they propagate from a boundary.