3 papers
math.PR2026
The higher-dimensional Shepp problem: an exact criterion for random ball coverings of tori
Yechi Zhou
We solve the Euclidean-ball case of the higher-dimensional Shepp covering problem. More precisely, we give an exact criterion for full limsup coverage of the -dimensional torus,…
gr-qc2026
Cutoff-Stable Null Convergence and Directional Rigidity in Bianchi I Spacetimes
Ye Zhou, Alan Zhang
We derive an endpoint-free optical rigidity theorem and use it to separate two rigidity regimes in Bianchi I spacetimes, without assuming that the spatial metric is diagonal in a f…
hep-ph2026
Embedding dependence of fermion mass hierarchies in -symmetric Yukawa sectors
Ye Zhou
When irreducible representations occur with multiplicity, a family symmetry fixes the representation content of a Yukawa sector but need not fix its embedding in the space of gener…