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math.CA2025
The Fourier Ratio: Uncertainty, Restriction, and Approximation for Compactly Supported Measures
A. Iosevich, Z. Li, E. Palsson +1
We introduce a continuous analog of the Fourier ratio for compactly supported Borel measures. For a measure \(μ\) on \(\mathbb{R}^d\) and \(f\in L^2(μ)\), the Fourier ratio compare…
math.NT2025
Numbers omitting digits in certain base expansions
Alexia Yavicoli, Han Yu
In DOI:10.1017/etds.2022.2 the author proved that for each integer there is an implicit number such that if are multiplicatively independent integer…
math.CA2025
Full measure universality for Cantor Sets
Pablo Shmerkin, Alexia Yavicoli
We investigate variants of the Erdős similarity problem for Cantor sets. We prove that under a mild Hausdorff or packing logarithmic dimension assumption, Cantor sets are not full…