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arXiv · 1612.09361

Continuity of Lyapunov exponents in the C0 topology

Marcelo Viana·Jiagang Yang
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Abstract

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.

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Marcelo Viana, Jiagang Yang. 2016-12-30. Continuity of Lyapunov exponents in the C0 topology. https://arxiv.org/abs/1612.09361

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