A Class of Non-primitive Substitutions and Chaos
Gongfu Liao, Fan Qin-jie · Chinese Annals of Mathematics · 2009
This paper considers the subshifts induced by those non-primitive constantlength substitutions on two symbols.With the help of a result obtained by Huang and Ye,the authors give an equivalent version for such a subshift to be Li-Yorke chaotic.Furthermore, by investigating the asymptotic behaviors of the points it is proved that each of the subshifts has no Schweizer-Smital pairs.