论文标题
对细胞自动机的平均等效性和平均灵敏度
Mean equicontinuity and mean sensitivity on cellular automata
论文作者
论文摘要
我们表明,及物子移动上的细胞自动机(或移位式)几乎是等效的或敏感的。另一方面,我们在全班(因此是及物换档)上构造一个细胞自动机,几乎既不是均等的也不是平均敏感的。
We show that a cellular automaton (or shift-endomorphism) on a transitive subshift is either almost equicontinuous or sensitive. On the other hand, we construct a cellular automaton on a full-shift (hence a transitive subshift) that is neither almost mean equicontinuous nor mean sensitive.