Jon. Aaronson, Zemer Kosloff, Benjamin Weiss
Published 2013-07-29, updated 2016-02-09Version 3
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.
A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory
Poisson-Orlicz norm and infinite Ergodic Theory
Several remarks on Pascal automorphism and infinite ergodic theory
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