L 1 Ergodic Theorems for Random Group Averages
This is an earlier, but more general, version of ”An L 1 Ergodic Theorem for Sparse Random Subsequences”. We prove an L 1 ergodic theorem for averages defined by independent random selector variables, in a setting of general measure-preserving group actions. A far more readable version of this paper is in the works.
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http://citeseerx.ist.psu.edu/v... (external link)
http://arxiv.org/pdf/0808.0525... (external link)