Multiple ergodic averages in abelian groups and Khintchine type recurrence
Work
Year: 2021
Type: preprint
Abstract: Let $G$ be a countable abelian group. We study ergodic averages associated with configurations of the form $\{ag,bg,(a+b)g\}$ for some $a,b\in\mathbb{Z}$. Under some assumptions on $G$, we prove that ... more
Author Or Shalom
Cites: 30
Cited by: 16
Related to: 10
Citation percentile (by year/subfield): 99.91
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder European Research Council
Grant ID 682150