2 research outputs found
Remarks on step cocycles over rotations, centralizers and coboundaries
By using a cocycle generated by the step function over an irrational rotation , we present examples which illustrate different aspects
of the general theory of cylinder maps. In particular, we construct non ergodic
cocycles with ergodic compact quotients, cocycles generating an extension
with a small centralizer. The constructions are related
to diophantine properties of