Invariant scrambled sets and maximal distributional chaos

Xinxing Wu; Peiyong Zhu

Annales Polonici Mathematici (2013)

  • Volume: 109, Issue: 3, page 271-278
  • ISSN: 0066-2216

Abstract

top
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.

How to cite

top

Xinxing Wu, and Peiyong Zhu. "Invariant scrambled sets and maximal distributional chaos." Annales Polonici Mathematici 109.3 (2013): 271-278. <http://eudml.org/doc/280341>.

@article{XinxingWu2013,
abstract = {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.},
author = {Xinxing Wu, Peiyong Zhu},
journal = {Annales Polonici Mathematici},
keywords = {distributional chaos; distributionally scrambled set; full shift},
language = {eng},
number = {3},
pages = {271-278},
title = {Invariant scrambled sets and maximal distributional chaos},
url = {http://eudml.org/doc/280341},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Xinxing Wu
AU - Peiyong Zhu
TI - Invariant scrambled sets and maximal distributional chaos
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 3
SP - 271
EP - 278
AB - 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.
LA - eng
KW - distributional chaos; distributionally scrambled set; full shift
UR - http://eudml.org/doc/280341
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.