Far East Journal of Dynamical Systems
Volume 28, Issue 4, Pages 277 - 288
(December 2016)
http://dx.doi.org/10.17654/DS028040277 |
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ERGODIC THEOREM FOR AMENABLE GROUPS AND WEAKLY INTEGRABLE FUNCTIONS
Alejandro Mesón and Fernando Vericat
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Abstract:
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. |
| Keywords and phrases: multiergodic averages, Markov groups, complexity of systems. |
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