Abstract
In this paper, we study the Dvoretzky covering problem with non-uniformly distributed centers. When the probability law of the centers is absolutely continuous w.r.t. Lebesgue measure and satisfies a regularity condition on the set of essential infimum points, we give a necessary and sufficient condition for covering the circle. When the lengths of covering intervals are of the form , we give a necessary and sufficient condition for covering the circle, without imposing any regularity on the density function.
Citation
Aihua Fan. Davit Karagulyan. "On μ-Dvoretzky random covering of the circle." Bernoulli 27 (2) 1270 - 1290, May 2021. https://doi.org/10.3150/20-BEJ1273
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