Generic measures for translation surface flows
Dynamical Systems
2021-11-30 v2
Abstract
We consider straight line flows on a translation surface that are minimal but not uniquely ergodic. We give bounds for the number of generic invariant probability measures.
Cite
@article{arxiv.2002.09416,
title = {Generic measures for translation surface flows},
author = {Howard Masur},
journal= {arXiv preprint arXiv:2002.09416},
year = {2021}
}
Comments
In this version there is a more complete proof of the main theorem. It is based on associating to generic measures certain subsets section 5 and the counting is done in section 6