3 papers
math.CT2026
On the sphere spectrum from the viewpoint of linear logic
Ryo Horiuchi
In this note, we show the category of -sets with the sphere spectrum, the smash product, and the substitution product gives rise to an isomix linearly distributive category, whi…
math.ST2026
Detecting non-uniform patterns on high-dimensional hyperspheres
Tiefeng Jiang, Tuan Pham
We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \cite…
math.ST2025
Asymptotic analysis of high-dimensional uniformity tests under heavy-tailed alternatives
Tiefeng Jiang, Tuan Pham
We study the high-dimensional uniformity testing problem, which involves testing whether the underlying distribution is the uniform distribution, given data points on the -d…