Salem properties of Dvoretzky random coverings
Yukun Chen, Xiangdi Fu, Zhaofeng Lin, Yanqi Qiu
TL;DR
This paper investigates the Salem properties of uncovered sets in Dvoretzky random coverings of the unit circle, revealing new spectral characteristics of these random geometric structures.
Contribution
It establishes the Salem properties for uncovered sets in Dvoretzky random coverings, a novel spectral analysis in this context.
Findings
Uncovered sets exhibit Salem spectral properties.
New spectral characteristics identified for Dvoretzky random coverings.
Advances understanding of geometric and harmonic analysis in random coverings.
Abstract
We establish the Salem properties for the uncovered sets in the celebrated Dvoretzky random coverings of the unit circle.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematical Dynamics and Fractals · Geometry and complex manifolds