Ľubomír Snoha
Published 2021-03-06Version 1
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.
Comments: accepted for publication in J. Math. Anal. Appl
On a matrix-valued PDE characterizing a contraction metric for a periodic orbit
Controlling the stability of periodic orbits of completely integrable systems
The specification property on a set-valued map and its inverse limit
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