Discrete harmonic analysis and applications to ergodic theory
Speaker: Mariusz Mirek, Institute of Advanced Study
Location: Warren Weaver Hall 1302
Date: Thursday, March 1, 2018, 11 a.m.
This will be a survey talk on the recent developments in the discrete harmonic analysis and their applications in ergodic theory. Specifically, we will discuss usefulness of r-variational estimates in pointwise convergence problems. Finally, I would like to mention some problem in the pointwise ergodic theory which led us to study dimension-free bounds for maximal functions and r-variations corresponding to the discrete Hardy-Littlewood averaging operators defined over the cubes in Z^d. The last part is joint project with J. Bourgain, E.M. Stein and B. Wrobel.