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math.DS2021
On the measure of products from the middle-third Cantor set
Luca Marchese
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…
math.DS2021
A genus 4 origami with minimal hitting time and an intersection property
Luca Marchese
In a minimal flow, the hitting time is the exponent of the power law, as r goes to zero, for the time needed by orbits to become r-dense. We show that on the so-called Ornithorynqu…