| Abstract: |
| The Oseledets theory gives an invariant decomposition of a skew-product linear dynamical system into measurable subbundles according to Lyapunov exponents, that is, exponential growth rates of orbits. On the other hand, when the fibers are ordered by a cone and the dynamical system satisfies some monotonicity condition, there is an invariant decomposition into a subbundle consisting of orbits that are always positive and negative and its complementary subbundle. It is an interesting topic to investigate relations between those two approaches. |
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