Deviation of ergodic averages for rational polygonal billiards
Dynamical Systems
2008-01-18 v4 Geometric Topology
Abstract
We prove polynomial upper bounds for the deviation of ergodic averages for the straight line flow on every translation surface in almost every direction, in particular for those surfaces arising from rational polygonal billiards.
Keywords
Cite
@article{arxiv.math/0701658,
title = {Deviation of ergodic averages for rational polygonal billiards},
author = {Jayadev S. Athreya and Giovanni Forni},
journal= {arXiv preprint arXiv:math/0701658},
year = {2008}
}
Comments
to appear in Duke Mathematical Journal. Some minor corrections made, typos fixed, some new references added