Everywhere divergence of the one-sided ergodic Hilbert transform for circle rotations by Liouville numbers

David Constantine, Joanna Furno
2017 New York Journal of Mathematics New York J. Math   unpublished
We prove some results on the behavior of infinite sums of the form f • T n (x) 1 n
fatcat:kkpy2zhbrfa2dfqi4geseml5wy