科研之友
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摘要
Skew-products that act by diffeomorphisms on the fibers are called smooth cocycles. If the extremal Lyapunov exponents of a smooth cocycle coincide then the fibers carry quite a lot of structure that is invariant under the dynamics and under a canonical pseudo-group of holonomy maps. We state and prove this invariance principle for cocycles over partially hyperbolic volume preserving diffeomorphisms. It has several applications, e.g., to linear cocycles and to partially hyperbolic dynamics.
- 出版日期2013
