Minimal nonergodic directions on genus 2 translation surfaces
Dynamical Systems
2007-05-23 v3
Abstract
It is well-known that on any Veech surface, the dynamics in any minimal direction is uniquely ergodic. In this paper it is shown that for any genus 2 translation surface which is not a Veech surface there are uncountably many minimal but not uniquely ergodic directions.
Cite
@article{arxiv.math/0501286,
title = {Minimal nonergodic directions on genus 2 translation surfaces},
author = {Y. Cheung and H. Masur},
journal= {arXiv preprint arXiv:math/0501286},
year = {2007}
}
Comments
15 pages, 2 figures, major simplifications in presentation as recommended by referee, to appear in Ergodic Theory Dynamical Systems