Xizhi Liu

activity

20182026

most citedA unified approach to hypergraph stability

16 citations · 57 across the 76 of their papers we have counts for

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math.MG2026

Nearly Sharp Bounds for Lattice Coverings by Convex Bodies

Heng Li, Xizhi Liu

For an $n$ -dimensional convex body $K$ , let $θ_{L} (K)$ denote its lattice covering density, and let $Θ_{L}^{conv} (n)$ and $Θ_{L}^{sym} (n)$ be the corresponding worst-ca…

math.MG2025

New upper bound for lattice covering by spheres

Jun Gao, Xizhi Liu, Oleg Pikhurko +1

We show that there exists a lattice covering of $R^{n}$ by Eucledian spheres of equal radius with density $O (n ln^{β} n)$ as $n \to \infty$ , where \begin{align*} β:= \…