Showing 2016Show all
2 papers · 1 filter
math.DS2016
On isomorphism problem for von Neumann flows with one discontinuity
Adam Kanigowski, Anton V. Solomko
A von Neumann flow is a special flow over an irrational rotation of the circle and under a piecewise roof function with a non-zero sum of jumps. We prove that the absolute va…
math.DS2016
On rank of von Neumann special flows
Adam Kanigowski, Anton V. Solomko
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 i…