On the measure of products from the middle-third Cantor set
Dynamical Systems
2021-04-27 v2 Metric Geometry
Number Theory
Abstract
We prove upper and lower bounds for the Lebesgue measure of the set of products with and 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.
Cite
@article{arxiv.2104.09939,
title = {On the measure of products from the middle-third Cantor set},
author = {Luca Marchese},
journal= {arXiv preprint arXiv:2104.09939},
year = {2021}
}
Comments
Added 1 figure. Now 13 pages, 1 figure