Browsing by Author "Ponce M."

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    On the projective derivative cocycle for circle diffeomorphisms
    (IWA Publishing, 2022) Navas A.; Ponce M.; CEDEUS (Chile)
    © 2022 International Press of Boston, Inc.. All rights reserved.We study the projective derivative as a cocycle of Möbius transformations over groups of circle diffeomorphisms. By computing precise expressions for this cocycle, we obtain several results about reducibility and almost reducibility to a cocycle of rotations. We also introduce an extension of this cocycle to the diagonal action on the 3-torus for which we generalize the previous results.