8 citations · 8 across the 3 of their papers we have counts for
5 papers
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…
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…
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…
Edrei's Conjecture revisited
Jan P. Boronski, Jiri Kupka, Piotr Oprocha
Motivated by a recent result of Ciesielski and Jasinski we study periodic point free Cantor systems that are conjugate to systems with vanishing derivative everywhere, and more gen…
Mixing completely scrambled system exists
Jan P. Boroński, Jiří Kupka, Piotr Oprocha
We prove that there exists a topologically mixing homeomorphism which is completely scrambled. We also prove that for any integer there is a continuum of topological dime…