33 citations · 258 across the 38 of their papers we have counts for
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A remark on the invertibility of semi-invertible cocycles
Lucas Backes
We observe that under certain conditions on the Lyapunov exponents a semi-invertible cocycle is, indeed, invertible. As a consequence, if a semi-invertible cocycle generated by a H…
Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
Lucas Backes, Davor Dragicevic
We prove that for semi-invertible and Hölder continuous linear cocycles acting on an arbitrary Banach space and defined over a base space that satisfies the Anosov Closing Prop…
The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
Lucas Backes, Mauricio Poletti, Adriana Sánchez
We prove that the set of fiber-bunched -valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partia…
Periodic approximation of Oseledets subspaces for semi-invertible cocycles
Lucas Backes
We prove that, for semi-invertible linear cocycles, Oseledets subspaces associated to ergodic measures may be approximated by Oseledets subspaces associated to periodic points.