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Specification property for step skew products

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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… Click to show full abstract

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.

Keywords: skew products; specification property; step skew

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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