Invariant scrambled sets and maximal distributional chaos
Xinxing Wu ; Peiyong Zhu
Annales Polonici Mathematici, Tome 107 (2013), p. 271-278 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

For the full shift (Σ₂,σ) on two symbols, we construct an invariant distributionally ϵ-scrambled set for all 0 < ϵ < diam Σ₂ in which each point is transitive, but not weakly almost periodic.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:280341 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-3-3,
     author = {Xinxing Wu and Peiyong Zhu},
     title = {Invariant scrambled sets and maximal distributional chaos},
     journal = {Annales Polonici Mathematici},
     volume = {107},
     year = {2013},
     pages = {271-278},
     zbl = {06223855},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-3-3}
}

Xinxing Wu; Peiyong Zhu. Invariant scrambled sets and maximal distributional chaos. Annales Polonici Mathematici, Tome 107 (2013) pp. 271-278. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-3-3/