元胞自动机中的Besicovitch-Eggleston型集合

doi:10.6040/j.issn.1671-9352.0.2015.186

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (4): 53-58.doi: 10.6040/j.issn.1671-9352.0.2015.186

元胞自动机中的Besicovitch-Eggleston型集合

彭涛涛,刘卫斌

武汉大学数学与统计学院, 湖北武汉 430072

收稿日期:2015-04-23 出版日期:2016-04-20 发布日期:2016-04-08
作者简介:彭涛涛(1992— ), 男, 硕士研究生, 研究方向为分形几何. E-mail:386019388@qq.com

Besicovitch-Eggleston type sets in cellular automata

PENG Tao-tao, LIU Wei-bin

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China

Received:2015-04-23 Online:2016-04-20 Published:2016-04-08

摘要/Abstract

摘要： 考虑了一类元胞自动机中的Besicovitch-Eggleston型集合。由于与某些移位系统等价,可以计算出这些集合的Hausdorff维数。

关键词: 符号空间, 元胞自动机, Hausdorff维数

Abstract: Consider a class of Besicovitch-Eggleston type sets associated cellular automata. Hausdorff dimensions of these sets are determined by tranforming them into some shift dynamics.

Key words: cellular automata, Hausdorff dimension, symbolic space

中图分类号:

O174.12

彭涛涛,刘卫斌. 元胞自动机中的Besicovitch-Eggleston型集合[J]. 山东大学学报（理学版）, 2016, 51(4): 53-58.

PENG Tao-tao, LIU Wei-bin. Besicovitch-Eggleston type sets in cellular automata[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 53-58.

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元胞自动机中的Besicovitch-Eggleston型集合

Besicovitch-Eggleston type sets in cellular automata

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