Estimating the Hausdorff dimensions of univoque sets for self-similar sets

Xiu Chen; Kan Jiang; Wenxia Li

doi:10.1016/j.indag.2019.06.001

Estimating the Hausdorff dimensions of univoque sets for self-similar sets

Xiu Chen
, Kan Jiang^*
, Wenxia Li

^*此作品的通讯作者

数学科学学院

Jiangsu Second Normal University
Ningbo University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

An approach is given for estimating the Hausdorff dimension of the univoque set of a self-similar set. This sometimes allows us to get the exact Hausdorff dimensions of the univoque sets.

源语言	英语
页（从-至）	862-873
页数	12
期刊	Indagationes Mathematicae
卷	30
期	5
DOI	https://doi.org/10.1016/j.indag.2019.06.001
出版状态	已出版 - 9月 2019

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10.1016/j.indag.2019.06.001

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title = "Estimating the Hausdorff dimensions of univoque sets for self-similar sets",

abstract = "An approach is given for estimating the Hausdorff dimension of the univoque set of a self-similar set. This sometimes allows us to get the exact Hausdorff dimensions of the univoque sets.",

keywords = "Hausdorff dimension, Self-similar sets, Sets of k-codings, Univoque set",

author = "Xiu Chen and Kan Jiang and Wenxia Li",

note = "Publisher Copyright: {\textcopyright} 2019 Royal Dutch Mathematical Society (KWG)",

year = "2019",

month = sep,

doi = "10.1016/j.indag.2019.06.001",

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AU - Jiang, Kan

AU - Li, Wenxia

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AB - An approach is given for estimating the Hausdorff dimension of the univoque set of a self-similar set. This sometimes allows us to get the exact Hausdorff dimensions of the univoque sets.

KW - Hausdorff dimension

KW - Self-similar sets

KW - Sets of k-codings

KW - Univoque set

UR - https://www.scopus.com/pages/publications/85068564541

U2 - 10.1016/j.indag.2019.06.001

DO - 10.1016/j.indag.2019.06.001

M3 - 文章

AN - SCOPUS:85068564541

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SP - 862

EP - 873

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 5

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Estimating the Hausdorff dimensions of univoque sets for self-similar sets

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