We consider group-valued cocycles over a partially hyperbolic dif-feomorphism which is accessible volume-preserving and center bunched. We study cocycles with values in the group of invertible continuous linear operators on a Banach space. We describe properties of holonomies for fiber bunched cocycles and establish their Holder regularity. We also study cohomology of cocycles and its connection with holonomies. We obtain a result on regularity of a measurable conjugacy, as well as a necessary and sufficient condition for existence of a continuous conjugacy between two cocycles.
|Original language||English (US)|
|Number of pages||15|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|State||Published - Jan 1 2016|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics