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math.PR2021
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 so that the random intervals $I_n : = (ω_n -(\ell_n/2), ω_n +…
math.PR2019
On -Dvoretzky random covering of the circle
Aihua Fan, Davit Karagulyan
In this paper, we study the Dvoretzky covering problem with non-uniformly distributed centers. When the probability law of the centers admits an absolutely continuous density which…