{1, 3, 5}-{1, 4, 5}问题与邻居自动机

数学物理学报 ›› 2021, Vol. 41 ›› Issue (3): 902-912.

• 论文 • 上一篇

{1, 3, 5}-{1, 4, 5}问题与邻居自动机

朱云颉()

^{湖北理工学院数理学院湖北黄石 435003}

收稿日期:2020-05-21 出版日期:2021-06-26 发布日期:2021-06-09
作者简介:朱云颉, E-mail: yjzhu_ccnu@sina.com
基金资助:
湖北省教育厅科研基金(Q20194504);湖北理工学院科研基金(18xjz9R);湖北理工学院科研基金(X201910920087)

Problem of {1, 3, 5}-{1, 4, 5} and Neighbor Automaton

Yunjie Zhu()

^{School of Mathematics and Physics, Hubei Polytechnic University, Hubei Huangshi 435003}

Received:2020-05-21 Online:2021-06-26 Published:2021-06-09

摘要/Abstract

摘要：

自相似集的Lipschitz等价问题是几何测度论和分形几何的中心问题之一.Rao-Ruan-Xi^[10]通过构造图递归集证明了{1，3，5}-{1，4，5}问题.该文利用邻居自动机给出了另一个证明.

关键词: 自相似集, Lipschitz等价, 邻居自动机

Abstract:

Lipschitz equivalence of self-similar sets is a kernel problem on geometric measure theory and fractal geometric. Rao-Ruan-Xi^[10] proved the problem of {1, 3, 5}-{1, 4, 5} by graph-directed sets. This paper gives another proof via the method of neighbor automaton.

Key words: Self-similar sets, Lipschitz equivalence, Neighbor automaton

中图分类号:

O174.12

朱云颉. {1, 3, 5}-{1, 4, 5}问题与邻居自动机[J]. 数学物理学报, 2021, 41(3): 902-912.

Yunjie Zhu. Problem of {1, 3, 5}-{1, 4, 5} and Neighbor Automaton[J]. Acta mathematica scientia,Series A, 2021, 41(3): 902-912.

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{1, 3, 5}-{1, 4, 5}问题与邻居自动机

Problem of {1, 3, 5}-{1, 4, 5} and Neighbor Automaton

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