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math.CA2026
Discrete intermediate dimensions: endpoints, spectra and quasi-isometric invariance
Jinjun Li, Lifeng Xi, Shuqin Zhang
We introduce upper and lower discrete intermediate dimensions for unbounded subsets of Euclidean space and extend them to metric spaces. The definitions restrict the covering radii…
math.CA2026
Projection theorems for macroscopic intermediate dimensions
Jinjun Li, Lifeng Xi
We introduce lower and upper macroscopic intermediate dimensions of unbounded subsets of Euclidean space by combining covering contributions from all dyadic annuli beyond a given s…
math.CA2026
Spectrality of factors of product spectral measures
Mihail N. Kolountzakis, Chun-Kit Lai, Kailing Lai +1
We refine the method by Greenfeld and Lev for the product spectral set problem and generalize the theorem to a singular measure setting. Furthermore, we establish a new class of sp…