04/22/2026
By Joris Roos
The Department of Mathematics and Statistics invites you to attend a colloquium lecture by Lars Becker from Princeton University on Wednesday, April 29.
Title: Quantitative pointwise convergence of non-conventional ergodic averages
Time: 11 a.m. to Noon
Room: Southwick Hall, Room 350W
Everyone is welcome!
Abstract: Birkhoff’s classical pointwise ergodic theorem states that the time-averages of a function f of a dynamical system converge pointwise as the time tends to infinity. Bourgain extended this result to so-called non-conventional ergodic averages, which capture the double recurrence statistics of the system. This talk is about an optimal quantitative version of Bourgain’s result: How many jumps larger than some threshold epsilon can the sequence of non-conventional averages have, before it eventually converges? This is joint work with Polona Durcik.
See the full semester’s schedule.
