Monday April 28th, 2025 | |
| Time: | 2:15 PM - 3:15 PM |
| Title: | Deterministic Localization for the Discrete Schrodinger Operator |
| Speaker: | Artur Avila, University of Zurich |
| Abstract: | |
| We consider discrete Schrodinger operators with bounded potentials on large finite boxes N^d. We show that it is possible to delocalize most eigenfunctions with a uniformly small deterministic perturbation of the potential. This result is obtained from a dynamical result about ergodic Schrodinger operators on \Z^d via a correspondence principle in the spirit of Furstenberg. Our proof is based on an optimization technique which makes use of a “Hellman-Feynman formulaâ€for the integrated density of states. This is joint work with David Damanik. | |