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 formula”for the integrated density of states.  This is joint work with David Damanik.

Tencent Meeting: 584-403-427