Linear and Isometry Cocycles over Hyperbolic Systems

Boris Kalinin
Pennsylvania State University

We consider Holder continuous linear cocycles over hyperbolic and partially hyperbolic systems. We will describe recent results on existence of invariant conformal structures and give a structure theorem for fiber bunched cocycles with one Lyapunov exponent. We will also discus how this relates to cocycles of isometries of non-positively curved spaces.

Presentation (PDF File)

Back to Workshop II: Dynamics of Groups and Rational Maps