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.
Original language | English (US) |
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Pages (from-to) | 2245-2256 |
Number of pages | 12 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 38 |
Issue number | 6 |
DOIs | |
State | Published - Sep 1 2018 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics