63 citations · 295 across the 47 of their papers we have counts for
10 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…
Multiorders in amenable group actions
Tomasz Downarowicz, Piotr Oprocha, Mateusz Więcek +1
The paper offers a thorough study of multiorders and their applications to measure-preserving actions of countable amenable groups. By a~{\em multiorder} on a~countable group we me…
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 -…
Parametrized family of pseudo-arc attractors: physical measures and prime end rotations
Jernej Činč, Piotr Oprocha
The main goal of this paper is to study topological and measure-theoretic properties of an intriguing family of strange planar attractors. Building towards these results, we first…
Beyond and : A solution to the Barge Entropy Conjecture
Jan P. Boroński, Jernej Činč, Piotr Oprocha
We prove the entropy conjecture of M. Barge from 1989: for every there exists a pseudo-arc homeomorphism , whose topological entropy is . Until now all pseu…
A Cantor dynamical system is slow if and only if all its finite orbits are attracting
Silvère Gangloff, Piotr Oprocha
In this paper, we completely solve the problem when a Cantor dynamical system can be embedded in with vanishing derivative everywhere. For this purpose, we con…