Ben Krause (Princeton)
Pointwise Convergence of Multiple Ergodic Averages
Abstract:
Beginning with the basics of pointwise ergodic theory, I will discuss my
forthcoming proof of the Furstenberg conjecture, on the pointwise
convergence of the bilinear ergodic averages,
1/N sum_{n \leq N} T^n f T^{n^2} g,]
where f,g in L^{infty}(X)] are bounded functions on a probability
space (X,mu), and T:X to X is a measure-preserving
transformation. Joint work with Mariusz Mirek (Rutgers) and Terence Tao
(UCLA).