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math.PR2025
Salem properties of Dvoretzky random coverings
Yukun Chen, Xiangdi Fu, Zhaofeng Lin +1
We establish the Salem properties for the uncovered sets in the celebrated Dvoretzky random coverings of the unit circle.
math.PR2025
Exact values of Fourier dimensions of Gaussian multiplicative chaos on high dimensional torus
Yukun Chen, Zhaofeng Lin, Yanqi Qiu
We determine the exact values of the Fourier dimensions for Gaussian Multiplicative Chaos measures on the -dimensional torus for all integers . This reso…
math.PR2025
Harmonic analysis of multiplicative chaos Part II: a unified approach to Fourier dimensions
Zhaofeng Lin, Yanqi Qiu, Mingjie Tan
We introduce a unified approach for studying the polynomial Fourier decay of classical multiplicative chaos measures. As consequences, we obtain the precise Fourier dimensions for…