## Strong ballistic transport for quasiperiodic Schrodinger operators and Lieb-Robinson bounds for XY spin chains

Ilya Kachkovskiy

Member, School of Mathematics

November 9, 2016

I will discuss some results and open questions related to transport properties of 1D quasiperiodic operators with absolutely continuous spectra, and their relations to integrable many-body systems. Most of the results will be based on https://arxiv.org/abs/1505.07150