A Livsic type theorem for germs of analytic diffeomorphisms
classification
🧮 math.DS
keywords
diffeomorphismsanalyticcocyclesgermslivsictheoremdealdirection
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We deal with the problem of the validity of Livsic's theorem for cocycles of diffeomorphisms satisfying the orbit periodic obstruction over an hyperbolic dynamics. We give a result in the positive direction for cocycles of germs of analytic diffeomorphisms at the origin.
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