On genericity of non-uniform Dvoretzky coverings of the circle

Michihiro Hirayama, Davit Karagulyan

The classical Dvoretzky covering problem asks for conditions on the sequence of lengths $\{{\ell }_n{\}}_{n\in \mathbb{N}}$ so that the random intervals $I_n : = (ω_n -(\ell_n/2), ω_n +…