Examples of entropy generating sequence

• 作 者: Dou Dou (1) [e-mail] Ky
• 机 构: NanjingUniv,AjouUniv
• 出 处: 中国科学：数学英文版
• 发表日期: 2011年3期
• 关键词: 熵产生 序列 指数增长 拓扑熵 复杂性 尺寸 entropy dimension entropy generating sequence complexity
• 基金项目: supported by National Natural Science Foundation of China （GrantNo. 10901080）, supported in part by KRF （Grant No. 2010-0020946）

We introduce the notion of entropy generating sequence for infinite words and define its dimension when it exists. We construct an entropy generating sequence for each symbolic example constructed by Cassaigne such that the dimension of the sequence is th