Synchronization properties of random piecewise isometries
Dynamical Systems
2014-08-07 v1
Abstract
We study the synchronization properties of the random double rotations on tori. We give a criterion that show when synchronization is present in the case of random double rotations on the circle and prove that it is always absent in dimensions two and higher.
Cite
@article{arxiv.1408.1140,
title = {Synchronization properties of random piecewise isometries},
author = {Anton Gorodetski and Victor Kleptsyn},
journal= {arXiv preprint arXiv:1408.1140},
year = {2014}
}
Comments
15 pages