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arXiv · 1307.7490

Symmetric Birkhoff sums in infinite ergodic theory

Jon. Aaronson·Zemer Kosloff·Benjamin Weiss
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Abstract

We show that the absolutely normalized, symmetric Birkhoff sums of positive integrable functions in infinite, ergodic systems never converge pointwise even though they may be almost surely bounded away from zero and infinity.

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Jon. Aaronson, Zemer Kosloff, Benjamin Weiss. 2013-07-29. Symmetric Birkhoff sums in infinite ergodic theory. https://doi.org/10.1017/etds.2016.18

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