Invariant scrambled sets and maximal distributional chaos
Volume 109 / 2013
Annales Polonici Mathematici 109 (2013), 271-278
MSC: Primary 37D45, 54H20, 37B40; Secondary 26A18, 28D20.
DOI: 10.4064/ap109-3-3
Abstract
For the full shift $(\varSigma _{2}, \sigma )$ on two symbols, we construct an invariant distributionally $\epsilon $-scrambled set for all $0<\epsilon < \operatorname{diam} \varSigma _{2}$ in which each point is transitive, but not weakly almost periodic.
