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Let ES,D be a set defined by digit restrictions. In this paper, we determine the Assouad dimension of ES,D. As an application, we construct a set of different Hausdorff, lower… Click to show full abstract
Let ES,D be a set defined by digit restrictions. In this paper, we determine the Assouad dimension of ES,D. As an application, we construct a set of different Hausdorff, lower box, upper box, and Assouad dimensions. Also, we prove that the set ES,D is either quasisymmetrically thick or thin. In addition, we show that ES,D is quasisymmetrically minimal provided that dimHES,D = 1.
Keywords:
properties sets;
sets defined;
defined digit;
digit restrictions;
geometric properties
Journal Title: International Journal of Number Theory
Year Published: 2017
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Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!