On ergodic averages for parabolic product flows
Dynamical Systems
2019-10-18 v2
Abstract
We consider a direct product of a suspension flow over a substitution dynamical system and an arbitrary ergodic flow and give quantitative estimates for the speed of convergence for ergodic integrals of such systems. Our argument relies on new uniform estimates of the spectral measure for suspension flows over substitution dynamical systems. The paper answers a question by Jon Chaika.
Keywords
Cite
@article{arxiv.1612.09142,
title = {On ergodic averages for parabolic product flows},
author = {Alexander I. Bufetov and Boris Solomyak},
journal= {arXiv preprint arXiv:1612.09142},
year = {2019}
}
Comments
14 pages, minor corrections, to appear in Bulletin de la SMF. arXiv admin note: text overlap with arXiv:1305.7373