An L Ergodic Theorem for Sparse Random Subsequences
نویسنده
چکیده
We prove an L subsequence ergodic theorem for sequences chosen by independent random selector variables, thereby showing the existence of universally L-good sequences nearly as sparse as the set of squares. In the process, we prove that a certain deterministic condition implies a weak maximal inequality for a sequence of l convolution operators (Prop. 3.1).
منابع مشابه
Ergodic Averages over Sparse Random Subsequences
We prove an L subsequence ergodic theorem for sequences chosen by independent random selector variables, thereby showing the existence of sparser universally L-good sequences than had been previously established. We extend this theorem to a more general setting of ergodic group actions.
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