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Linear cocycles over Lorenz-like flows

2012/08/28 by Fanaee, Mohammad
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1208.5694

Abstract

We prove that the Lyapunov exponents of typical fiber bunched linear cocycles over Lorenz-like flows have multiplicity one: the set of exceptional cocycles has infinite codimention, i.e. it is locally contained in finite unions of closed submanifolds with arbitrarily high codimension.

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