4 papers
Localization for non-stationary Anderson models in three dimensions
Omar Hurtado
We prove localization (near the bottom of the spectrum) for certain non-stationary variants of the Anderson model in three dimensions. More specifically, we prove a Wegner estimate…
Localization and unique continuation for non-stationary Schrödinger operators on the 2D lattice
Omar Hurtado
We extend methods of Ding and Smart from their breakthrough paper in 2020 which showed Anderson localization for certain random Schrödinger operators on via…
Uniform estimates for random matrix products and applications
Omar Hurtado, Sidhanth Raman
For certain natural families of topologies, we study continuity and stability of statistical properties of random walks on linear groups over local fields. We extend large deviatio…
Localization for heavy-tailed Anderson models
Omar Hurtado
Using recent results on uniform large deviation estimates for random matrix products obtained by S. Raman and the author, we prove localization for one dimensional Anderson models…