Godofredo Iommi

Pontificia Universidad Católica de Chile


The Halász-Székely Barycenter


Ergodic Theory and Dynamical Systems Seminar


18th March 2021, 2:00 pm – 3:00 pm
Online, via Zoom


In this talk we will introduce a notion of barycenter of a probability measure related to the symmetric mean of a collection of nonnegative real numbers. Our definition is inspired by the 1976 work of Halász and Székely. We will describe some of the properties of this barycenter and go on to establish an ergodic theorem that relates the symmetric mean of a sequence of dynamical observations with the barycenter of an ergodic measure. This is joint work with Jairo Bochi and Mario Ponce.






Comments are closed.
css.php