A Livsic type theorem for germs of analytic diffeomorphisms

Details A Livsic type theorem for germs of analytic diffeomorphisms A Livsic type theorem for germs of analytic diffeomorphisms

2011-10-10

arxiv.org/abs/1110.1911v1

Mathematics

Dynamical Systems

Scientific paper

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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