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arXiv · 0808.0525

L^1 Ergodic Theorems for Random Group Averages

Patrick LaVictoire
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Abstract

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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Patrick LaVictoire. 2008-12-17. L^1 Ergodic Theorems for Random Group Averages. https://arxiv.org/abs/0808.0525

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