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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
MultiplicationCantorRevision030622AMH.pdf
accesso aperto
Tipo:
Postprint
Licenza:
Licenza per accesso libero gratuito
Dimensione
1.21 MB
Formato
Adobe PDF
|
1.21 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
