10/30/2025
By Joris Roos

The Department of Mathematics and Statistics invites you to attend a colloquium lecture by Xueyin Wang, Texas A&M University, on Wednesday, Nov 5.

Title: Discrepancy estimates and quantum dynamics
Time: 11 a.m. to Noon
Room: Southwick Hall, Room 350W

Everyone is welcome!

Abstract: In this talk, we present new quantum dynamical upper bounds for one-dimensional analytic long-range operators with ergodic potentials, which improve over several previously known results. Our approach is based on novel discrepancy estimates for semi-algebraic sets. Specifically, for shift dynamics, we establish an asymptotically sharp discrepancy bound by constructing a matching lower bound. For skew-shift dynamics, we reduce the exponential upper bound to a polynomial one by Vinogradov's method.