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Rigidity of fiber bunched cocycles

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Abstract

We prove a rigidity theorem for fiber bunched matrix-valued Hölder cocycles over hyperbolic homeomorphisms. More precisely, we show that two such cocycles are cohomologous if and only if they have conjugated periodic data.

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Authors and Affiliations

  1. IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, RJ, Brazil

    Lucas H. Backes

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  1. Lucas H. Backes
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Correspondence to Lucas H. Backes.

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Backes, L.H. Rigidity of fiber bunched cocycles. Bull Braz Math Soc, New Series 46, 163–179 (2015). https://doi.org/10.1007/s00574-015-0089-7

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  • DOI: https://doi.org/10.1007/s00574-015-0089-7

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