Existence of non-uniform cocycles on uniquely ergodic systems
Existence of non-uniform cocycles on uniquely ergodic systems
Abstract We study existence of non-uniform continuous SL(2, R ) -valued cocycles over uniquely ergodic dynamical systems. We present a class of subshifts over finite alphabets on which every locally constant cocycle is uniform. On the other hand, we also show that every irrational rotation admits non-uniform cocycles. Finally, we …