8 citations · 18 across the 10 of their papers we have counts for
14 papers · 1 filter
Graph maps with zero topological entropy and sequence entropy pairs
Jian Li, Xianjuan Liang, Piotr Oprocha
We show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same solenoidal -limit…
On the structure of -limit sets of backward trajectories for graph maps
Magdalena Foryś-Krawiec, Jana Hantáková, Piotr Oprocha
In the paper we study what sets can be obtained as -limit sets of backward trajectories in graph maps. We show that in the case of mixing maps, all those -limit sets are -…
Periodic points and shadowing property for generic Lebesgue measure preserving interval maps
Jernej Činč, Jozef Bobok, Piotr Oprocha +1
We show that for the generic continuous maps of the interval and circle which preserve the Lebesgue measure it holds for each k 1 that the set of periodic points of period k…
S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
In this paper we show that generic continuous Lebesgue measure preserving circle maps have the s-limit shadowing property. In addition we obtain that s-limit shadowing is a generic…
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…