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  • Oseledec Multiplicative Ergodic Theorem for Laminations

Oseledec Multiplicative Ergodic Theorem for Laminations

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Given a $n$-dimensional lamination endowed with a Riemannian metric, the author introduces the notion of a multiplicative cocycle of rank $d$, where $n$ and $d$ are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of multiplicative cocycles.
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