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For any [Formula: see text], let [Formula: see text] be the [Formula: see text]-transformation dynamical system. For any sequence [Formula: see text], we investigate the following badly approximable set: [Formula:… Click to show full abstract
For any [Formula: see text], let [Formula: see text] be the [Formula: see text]-transformation dynamical system. For any sequence [Formula: see text], we investigate the following badly approximable set: [Formula: see text] In this paper, we determine the Lebesgue measure and Hausdorff dimension of the set [Formula: see text] completely for any [Formula: see text] and any sequence [Formula: see text].
Keywords:
metric dimensional;
see text;
badly approximable;
formula see;
approximable set
Journal Title: Fractals
Year Published: 2019
Link to full text (if available)
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Journal Title: Fractals
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!