63 citations · 295 across the 47 of their papers we have counts for
4 papers · 2 filters
On entropy of dynamical systems with almost specification
Dominik Kwietniak, Piotr Oprocha, Michał Rams
We construct a family of shift spaces with almost specification and multiple measures of maximal entropy. This answers a question from Climenhaga and Thompson [Israel J. Math. 192…
Invariant scrambled sets, uniform rigidity and weak mixing
Magdalena Foryś, Wen Huang, Jian Li +1
We show that for a non-trivial transitive dynamical system, it has a dense Mycielski invariant strongly scrambled set if and only if it has a fixed point, and it has a dense Myciel…
On "observable" Li-Yorke tuples for interval maps
Henk Bruin, Piotr Oprocha
In this paper we study the set of Li-Yorke -tuples and its -dimensional Lebesgue measure for interval maps . If a topologically mixing preserves…
On various definitions of shadowing with average error in tracing
Xinxing Wu, Piotr Oprocha, Guanrong Chen
In this paper we present a systematic study of shadowing properties with average error in tracing such as (asymptotic) average shadowing, -shadowing, -…