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arXiv:1612.09361 [math.DS]AbstractReferencesReviewsResources

Continuity of Lyapunov exponents in the C0 topology

Marcelo Viana, Jiagang Yang

Published 2016-12-30Version 1

We prove that the Bochi-Ma\~{n}\'{e} theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbolic and yet have Lyapunov exponents bounded from zero.

Categories: math.DS
Subjects: 37A99, 37C40, 37D20, 37H15
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