Specification property for step skew products
Dynamical Systems
2021-03-09 v1
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.
Cite
@article{arxiv.2103.04120,
title = {Specification property for step skew products},
author = {Ľubomír Snoha},
journal= {arXiv preprint arXiv:2103.04120},
year = {2021}
}
Comments
accepted for publication in J. Math. Anal. Appl