Specification property for step skew products

Specification property for step skew products

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 thi...

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Veröffentlicht in:arXiv.org 2021-03
1. Verfasser: Snoha, Ľubomír
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Continuous fibers
Orbits
Specifications
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description 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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subjects Continuous fibers
Orbits
Specifications
title Specification property for step skew products
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