A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory
Dynamical Systems
2015-10-06 v2
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.
Keywords
Cite
@article{arxiv.1412.1242,
title = {A universal divergence rate for symmetric Birkhoff Sums in infinite ergodic theory},
author = {Zemer Kosloff},
journal= {arXiv preprint arXiv:1412.1242},
year = {2015}
}
Comments
18 pages