Salem properties of Dvoretzky random coverings
Probability
2025-12-25 v3 Mathematical Physics
Functional Analysis
math.MP
Abstract
We establish the Salem properties for the uncovered sets in the celebrated Dvoretzky random coverings of the unit circle.
Cite
@article{arxiv.2511.13068,
title = {Salem properties of Dvoretzky random coverings},
author = {Yukun Chen and Xiangdi Fu and Zhaofeng Lin and Yanqi Qiu},
journal= {arXiv preprint arXiv:2511.13068},
year = {2025}
}
Comments
19 pages, a revision concerning the possibility of vanishing of the multiplicative chaos measures is included