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
Null Completeness and Directional Rigidity in Bianchi I Spacetimes
Ye Zhou, Alan Zhang
In Einstein gravity, every null geodesic of a non-static Bianchi I spacetime satisfying the null energy condition is incomplete in at least one direction within the Bianchi I regio…
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…