12 citations · 21 across the 6 of their papers we have counts for
4 papers · 1 filter
Spaces where all closed sets are -limit sets
Jana Hantáková, Samuel Roth, Ľubomír Snoha
Metrizable spaces are studied in which every closed set is an -limit set for some continuous map and some point. It is shown that this property is enjoyed by every space contain…
Rigidity and Flexibility of Polynomial Entropy
Samuel Roth, Zuzana Roth, Ľubomír Snoha
We introduce the notion of a one-way horseshoe and show that the polynomial entropy of an interval map is given by one-way horseshoes of iterates of the map, obtaining in such a wa…
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…
Typical behaviour of random interval homeomorphisms
Jaroslav Bradík, Samuel Roth
We consider the typical behaviour of random dynamical systems of order-preserving interval homeomorphisms with a positive Lyapunov exponent condition at the endpoints. Our study re…