4 papers
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…
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…
On good approximations and Bowen-Series expansion
Luca Marchese
We consider the continued fraction expansion of real numbers under the action of a non-uniform lattice in PSL(2,R) and prove metric relations between the convergents and a natural…
Full families of generalized interval exchange transformations
Luca Marchese, Liviana Palmisano
We consider generalized interval exchange transformations, or briefly GIETs, that is bijections of the interval which are piecewise increasing homeomorphisms with finite branches.…