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math.CA2025
Hausdorff dimension of restricted Kakeya sets
Jonathan M. Fraser, Lijian Yang
A Kakeya set in is a compact set that contains a unit line segment in each direction . The Kakeya conjecture states that any Kakeya set in $\mat…
math.CA2024
Obtaining the Fourier spectrum via Fourier coefficients
Marc Carnovale, Jonathan M. Fraser, Ana E. de Orellana
The Fourier spectrum is a family of dimensions that interpolates between the Fourier and Hausdorff dimensions and are defined in terms of certain energies which capture Fourier dec…