On rank of von Neumann special flows
Dynamical Systems
2016-08-22 v1
Abstract
We prove that special flows over an ergodic rotation of the circle under a roof function with one discontinuity do not have local rank one. In particular, any such flow has infinite rank.
Keywords
Cite
@article{arxiv.1608.05596,
title = {On rank of von Neumann special flows},
author = {Adam Kanigowski and Anton V. Solomko},
journal= {arXiv preprint arXiv:1608.05596},
year = {2016}
}
Comments
15 pages