The billiard ball problem and rotation numbers
Dynamical Systems
2009-02-25 v1
Abstract
We introduce the concepts of rotation numbers and rotation vectors for billiard maps. Our approach is based on the birkhoff ergodic theorem. We anticipate that it will be useful, in particular, for the purpose of establishing the non-ergodicity of billiard in certain domains.
Keywords
Cite
@article{arxiv.0902.4172,
title = {The billiard ball problem and rotation numbers},
author = {Eugene Gutkin},
journal= {arXiv preprint arXiv:0902.4172},
year = {2009}
}