3 papers
math.DS2021
Dendrites and measures with discrete spectrum
Magdalena Foryś-Krawiec, Jana Hantáková, Jiří Kupka +2
We are interested in dendrites for which all invariant measures of zero-entropy mappings have discrete spectrum, and we prove that this holds when the closure of the endpoint set o…
math.DS2019
On entropy of -irregular and -level sets in maps with the shadowing property
Magdalena Foryś-Krawiec, Jiri Kupka, Piotr Oprocha +1
We study the properties of -irregular sets (sets of points for which the Birkhoff average diverges) in dynamical systems with the shadowing property. We estimate the topological…
math.DS2019
All minimal Cantor systems are slow
J. P. Boroński, J. Kupka, P. Oprocha
We show that every (invertible, or noninvertible) minimal Cantor system embeds in with vanishing derivative everywhere. We also study relations between local shrinking…