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We consider the asymptotic behaviors of the orbits of an expanding Markov system [Formula: see text], and prove that the badly approximable set [Formula: see text] is of full Hausdorff… Click to show full abstract
We consider the asymptotic behaviors of the orbits of an expanding Markov system [Formula: see text], and prove that the badly approximable set [Formula: see text] is of full Hausdorff dimension for any given sequence [Formula: see text]. Consequently, the Hansdorff dimension of the set of nonrecurrent points in the sense that [Formula: see text] is also full. The results can be applied to [Formula: see text]-transformations, Gauss maps and Lüroth maps, etc.
Keywords:
see text;
expanding markov;
badly approximable;
formula see
Journal Title: Fractals
Year Published: 2021
Link to full text (if available)
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Journal Title: Fractals
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!