Thick attractors of step skew products
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A diffeomorphism is said to have a thick attractor provided that its Milnor attractor has positive but not full Lebesgue measure. We prove that there exists an open set in the space of boundary preserving step skew products with a fiber [0,1], such that any map in this set has a thick attractor.
Key wordsattractor diffeomorphism step skew product
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- 1.Bonifant, A. and Milnor, J., Schwarzian Derivatives and Cylinder Maps, preprint, 2007.Google Scholar