Ergodic properties of folding maps on spheres
Dynamical Systems
2018-07-03 v2
Abstract
We consider the trajectories of points on under sequences of certain folding maps associated with reflections. The main result characterizes collections of folding maps that produce dense trajectories. The minimal number of maps in such a collection is .
Keywords
Cite
@article{arxiv.1509.02454,
title = {Ergodic properties of folding maps on spheres},
author = {Almut Burchard and Gregory R. Chambers and Anne Dranovski},
journal= {arXiv preprint arXiv:1509.02454},
year = {2018}
}
Comments
18 pages; Accepted for publication in Discrete and Continuous Dynamical Systems - Series A