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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	862-873
Number of pages	12
Journal	Indagationes Mathematicae
Volume	30
Issue number	5
DOIs	https://doi.org/10.1016/j.indag.2019.06.001
State	Published - Sep 2019

Keywords

Hausdorff dimension
Self-similar sets
Sets of k-codings
Univoque set

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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 - Chen, Xiu

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

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DO - 10.1016/j.indag.2019.06.001

M3 - 文章

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SN - 0019-3577

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EP - 873

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 5

ER -

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

Abstract

Keywords

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