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math.DS2023
Coexistence of measures with simple Lyapunov spectrum for fiber-bunched cocycles
Daniel Mitsutani, Jonathan DeWitt
We prove that if a Hölder continuous fiber-bunched cocycle over an invertible hyperbolic transitive shift satisfies an appropriate strong irreducibility condition…
math.DS2023★ 1 cited
Cocycles measurably conjugate to unipotent over hyperbolic systems
Jonathan DeWitt
We show that if a Hölder continuous linear cocycle over a hyperbolic system is measurably conjugate to a cocycle taking values in a unipotent group, then the cocycle is Hölder cont…