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.

Luca Marchese (2022). On the measure of products from the middle-third Cantor set. ACTA MATHEMATICA HUNGARICA, 167(2), 365-384 [10.1007/s10474-022-01255-w].

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

Luca Marchese
2022

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.
2022
Luca Marchese (2022). On the measure of products from the middle-third Cantor set. ACTA MATHEMATICA HUNGARICA, 167(2), 365-384 [10.1007/s10474-022-01255-w].
Luca Marchese
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/918499
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