Title: Slow propagation velocities of discrete Schrödinger operators in large periodic potential
Speaker: Christoph Fischbacher (Baylor University)
Speaker's URL: https://math.artsandsciences.baylor.edu/person/christoph-fischbacher-phd
Abstract: I will present some of my recent joint work with Abdul-Rahman, Darras, and Stolz (https://arxiv.org/abs/2401.11508). I will begin with a quick crash course on discrete Schrödinger (Jacobi) operators with periodic potential and on Lieb-Robinson bounds. While periodic Schrödinger operators have purely ac spectrum and exhibit ballistic transport, I will show that if the potential is large enough, it is possible to make the velocity of this transport arbitrarily small. I will discuss the special case of period 2, where things can be computed explicitly and then talk about the case of general period p.
URL associated with Seminar: https://u.osu.edu/aots/
