Multiparameter ergodic averages for two commuting actions of an amenable group

Abstract

We find limits of some multiple ergodic averages, generalizing a result of Bergelson to the setting of two commuting transformations and actions of amenable groups.

arXiv comment16 pages

References in corpus (1)

• On the norm convergence of nonconventional ergodic averages

Cited by in corpus (2)

• Lower bound in the Roth theorem for amenable groups
• Cubic ergodic averages for actions of amenable groups