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Chengfei Xie, On the packing densities of superballs in high dimensions
Chengfei Xie, On the packing densities of superballs in high dimensions
The sphere packing problem asks for the densest packing of nonoverlapping equal-sized balls in the space. This is an old and difficult problem in discrete geometry. In this talk, we give a new proof for the result that for $ 1<p<2 $, the translative packing density of superballs (a generalization of $\ell^p$ balls) in $\mathbb{R}^n$ …