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arXiv · 2103.04120

Specification property for step skew products

Ľubomír Snoha
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Abstract

Step skew products with interval fibres and a subshift as a base are considered. It is proved that if the fibre maps are continuous, piecewise monotone, expanding and surjective and the subshift has the specification property and a periodic orbit such that the composition of the fibre maps along this orbit is mixing, then the corresponding step skew product has the specification property.

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Ľubomír Snoha. 2021-03-06. Specification property for step skew products. https://arxiv.org/abs/2103.04120

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