Showing math.MGShow all
3 papers · 1 filter
math.MG2026
On the weighted hard-core model and Rado's covering problem for congruent Euclidean balls
Chengfei Xie, Gennian Ge
Let be a symmetric convex body in and let denote the largest constant such that every finite collection of translates of contains a pairwise disjo…
math.MG2022
On the lower bound for kissing numbers of -spheres in high dimensions
Chengfei Xie, Gennian Ge
In this paper, we give some new lower bounds for the kissing number of -spheres. These results improve the previous work due to Xu (2007). Our method is based on coding the…
math.MG2022
On the lower bound for packing densities of superballs in high dimensions
Chengfei Xie, Gennian Ge
Define the superball with radius and center in to be the set $$ \left\{{\boldsymbol x}\in\mathbb{R}^n:\sum_{j=1}^{m}\left(x_{k_j+1}^2+x_{k_j+2}…