METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS

Yang Qianqian; Wang Shuailing

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METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS

机译：β变换的严重近似集的度量和尺寸特性

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摘要

For any beta > 1, let ([0, 1), T-beta) be the beta-transformation dynamical system. For any sequence {x(n)}(n >= 0) subset of [0,1), we investigate the following badly approximable set:

机译：对于任何Beta> 1，让（[0,1），T-Beta）是β-变换动态系统。对于任何序列{x（n）}（n> = 0）[0,1）的子集，我们调查以下近似近似集：

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来源
《Fractals: An interdisciplinary journal on the complex geometry of nature》 |2019年第3期|共9页
作者
Yang Qianqian; Wang Shuailing;
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作者单位

South China Univ Technol Dept Math Guangzhou 510640 Guangdong Peoples R China;

South China Univ Technol Dept Math Guangzhou 510640 Guangdong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Badly Approximable Set; beta-transformation; Hausdorff Dimension;

机译：差价近似的集合;β-转换;豪斯多夫维度;

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1. METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS [J] . Yang Qianqian, Wang Shuailing Fractals: An interdisciplinary journal on the complex geometry of nature . 2019,第3期

机译：β变换的严重近似集的度量和尺寸特性
2. The product of octahedra is badly approximated in the ℓ _(2,1)-metric [J] . Malykhin Yu V., Ryutin Konstantin S. Mathematical notes . 2017,第1a2期

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3. 2-DIMENSIONAL BADLY APPROXIMABLE VECTORS AND SCHMIDT'S GAME [J] . An Jinpeng Duke mathematical journal . 2016,第2期

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METRIC AND DIMENSIONAL PROPERTIES OF THE BADLY APPROXIMABLE SET FOR BETA-TRANSFORMATIONS

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