Summary
Let {S n} be any non-trivial random walk on the integers. Then, almost surely, for all p≧1, for any probability space X, for any mixing automorphism T on X, for all fεL p (X),
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Saleski, A. A note on the random mean ergodic theorem. Z. Wahrscheinlichkeitstheorie verw Gebiete 52, 41–44 (1980). https://doi.org/10.1007/BF00534185
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DOI: https://doi.org/10.1007/BF00534185