Almost everywhere convergence of ergodic averages

ABSTRACT:  

In this talk I would like to discuss some of my results concerning almost everywhere convergence of non-conventional ergodic averages of L1 functions.

These topics include:

  • divergence of ergodic averages along the squares;
  • convergence along some sequences of zero Banach density;
  • convergence for arithmetic weights: the prime divisor functions ω and Ω.

 

Date: Oct 29, 2018 at 2018-10-24 16:30:00 h
Venue: Sala 2, PUC, Facultad de Matemáticas, Av. Vicuña Mackenna 4860, Macul, La Florida.
Speaker: Zoltan Buczolich
Affiliation: (Department of Analysis, Eötvös Loránd)
Coordinator: Prof. Italo Cipriano
Abstract:
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Posted on Oct 24, 2018 in Dynamical Systems, Seminars