ERGODIC THEOREM FOR AMENABLE GROUPS AND WEAKLY INTEGRABLE FUNCTIONS
We analyze averages of amenable groups along Følner sequences in the way considered by Lindenstrauss but for weakly integrable functions. The objective is to generalize the quantitative results of Haynes, adapting the technique of trimmed sums for classical ergodic averages.
multiergodic averages, Markov groups, complexity of systems.
