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arXiv · 2104.09939

On the measure of products from the middle-third Cantor set

Luca Marchese
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Abstract

We prove upper and lower bounds for the Lebesgue measure of the set of products $xy$ with $x$ and $y$ in the middle-third Cantor set. Our method is inspired by Athreya, Reznick and Tyson, but a different subdivision of the Cantor set provides a more rapidly converging approximation formula.

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Luca Marchese. 2021-04-20. On the measure of products from the middle-third Cantor set. https://arxiv.org/abs/2104.09939

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