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arxiv: 0808.0525 · v4 · submitted 2008-08-04 · 🧮 math.DS

L¹ Ergodic Theorems for Random Group Averages

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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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