Examples of entropy generating sequence

作     者：PARK Kyewon Koh 

作者机构：Department of Mathematics Ajou University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2011年第54卷第3期

页      面：531-538页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (GrantNo. 10901080) supported in part by KRF (Grant No. 2010-0020946) 

主　　题：entropy dimension entropy generating sequence complexity 

摘      要：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 the same as its topological entropy dimension. Hence the complexity can be measured via the dimension of an entropy generating sequence. Moreover, we construct a weakly mixing example with subexponential growth rate.