Synchronization Properties of Random Piecewise Isometries
- Author(s): Gorodetski, A
- Kleptsyn, V
- et al.
Published Web Locationhttps://doi.org/10.1007/s00220-016-2678-8
© 2016, Springer-Verlag Berlin Heidelberg. 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.