arXiv:1412.1242 Abstract | arXiv Analytics

arXiv:1412.1242 [math.DS]Abstract References Reviews Resources

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

Published 2014-12-03Version 1

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.

Comments: 13 pages

Categories: math.DS

Subjects: 37A40, 37A30, 37A17, 37D40

Keywords: symmetric birkhoff sums, infinite ergodic theory, universal divergence rate, universal gap, ergodic theorem

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