Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections

Manuel Hauke, Andrei Shubin, Eduard Stefanescu +1

We study problems on covering $[0,1)$ by shrinking intervals centered at the points $\{q_{n}x\}$, where $(q_n{)}_{n\in \mathbb{N}}$ is a given real-valued sequence and $x\in [0,1)$ i…