Author

Ye Zhou

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Preprint Oct 2026

A limit law for the cover time of the two-dimensional discrete torus

We determine the limiting distribution of the cover time of simple random walk on the two-dimensional discrete torus. For the continuous-time walk with total jump rate one on $(\mathbb Z/N\mathbb Z)^2$, let $T_N$ denote its cover time. We prove that $\frac{T_N}{(2/\pi)N^2\log N}-2\log N+\log\log N \Longrightarrow G+\lo...

Ye Zhou · 0 citations

Preprint Aug 2026

Embedding dependence of fermion mass hierarchies in $S_3$-symmetric Yukawa sectors

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 generation tensors. We study the spectral consequences of this additional embedding data for complex-symmetric three-family tensors with the $S_3...

Ye Zhou · 0 citations