Analysis Seminar

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.

Synopsis:

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.