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arXiv · 1412.1242

A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory

Zemer Kosloff
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Abstract

We show that there exists a universal gap in the failure of the ergodic theorem for symmetric Birkhoff sums in infinite ergodic theory. In addition, an application of this result to a question of fluctuations of the Birkhoff integrals of horocyclic flows on geometrically finite surfaces is given.

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Zemer Kosloff. 2015-10-04. A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory. https://arxiv.org/abs/1412.1242

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