Specification property for step skew products
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125112
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… read more here.
Keywords: skew products; specification property; step skew;
Invariant multi-graphs in step skew-products
Sign Up to like & getrecommendations! Published in 2019 at "Dynamical Systems"
DOI: 10.1080/14689367.2019.1616674
Abstract: ABSTRACT We study step skew-products over a finite-state shift (base) space whose fibre maps are injective maps on the unit interval. We show that certain invariant sets have a multi-graph structure and can be written… read more here.
Keywords: multi graphs; step skew; skew products; invariant multi ... See more keywords