东北数学(英文版)
東北數學(英文版)
동북수학(영문판)
NORTHEASTERN MATHEMATICAL JOURNAL
2007年
5期
386-390
,共5页
weak mixing%sensitive dependence%totally maximum sensitivity
Let X be a compact metric space containing at least two points and let f: X → X be continuous. In this paper, we introduce the notion of totally maximum sensitive (TMS, for short) and prove that f is weakly mixing if and only if it is TMS, and if X = [0, 1], then f is weakly mixing if and only if it is 2-maximum sensitive.