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Density of non-zero exponent of contraction for pinching cocycles Hom(S^1)

Catalina FreijoKarina Marin
摘要
We consider pinching cocycles taking values in the space of homeomorphisms ofthe circle over an hyperbolic base. In this set, we prove that the cocycleshaving non-zero exponent of contraction are dense. This work generalizes theresult of Bonatti, G\'omez-Mont, Viana about linear cocyles using theInvariance Principle of Malicet.
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