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Preprint Oct 2026

On a conjecture of Velani

We investigate the approximation of elements of the middle-third Cantor set by dyadic rationals, and natural extensions. We prove a conjecture of Velani, completing the metric theory for the Cantor measure. Our key method enables a quantitative study of the incommensurability of binary and ternary expansions of integer...

Sam Chow, Han Yu · 0 citations

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