Polynomial ergodic averages for certain countable ring actions

Ergodic Theory/Probability Seminar
Thu, September 16, 2021
3:00 pm - 4:00 pm
Zoom

Title:  Polynomial ergodic averages for certain countable ring actions

Speaker:  Andreu Ferre Moragues (Nicolaus Copernicus University, Torun, Poland)

Abstract:  Inspired by a recent result of Frantzikinakis that allows one to establish joint ergodicity of general integer valued sequences, we will take a look at the ring actions setup. I will present new joint ergodicity results for families of independent polynomials when the acting ring is a field of characteristic zero, their corollaries in combinatorics and topological dynamics, and the methods of proof. Based on joint work with Andrew Best.

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