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Universally L^1 good sequences with gaps tending to infinity

Zoltan Buczolich
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Abstract

A universally L^1 good sequence n_k is constructed with n_{k+1}-n_k tending to infinity. For ergodic transformations non-conventional ergodic averages of L^1 functions computed by using this sequence converge to the integral of the function.

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Zoltan Buczolich. 2006-01-13. Universally L^1 good sequences with gaps tending to infinity. https://arxiv.org/abs/math/0601329

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