Continuity of Lyapunov exponents in the C0 topology
classification
🧮 math.DS
keywords
cocyclesexponentslinearlyapunovbochi-maboundedc0-opencontinuity
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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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