Time-quantitative density of non-integrable systems
Dynamical Systems
2024-02-08 v3 Number Theory
Abstract
We introduce a new method to establish time-quantitative density in flat dynamical systems. First we give a shorter and different proof of our earlier result that a half-infinite geodesic on an arbitrary finite polysquare surface P is superdense on P if the slope of the geodesic is a badly approximable number. We then adapt our method to study time-quantitative density of half-infinite geodesics on algebraic polyrectangle surfaces.
Cite
@article{arxiv.2104.09930,
title = {Time-quantitative density of non-integrable systems},
author = {J. Beck and W. W. L. Chen},
journal= {arXiv preprint arXiv:2104.09930},
year = {2024}
}
Comments
27 pages, 5 figures