Discrete Energy on Rectifiable Sets pp 525-538 | Cite as
Best-Packing on Compact Sets
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Abstract
In this chapter we study the behavior of the leading term as N gets large of the N-point best-packing distance (defined earlier in Chapter 3) on a compact \((\mathcal H_d, d)\)-rectifiable set A in \(\mathbb R^p\) as well as the weak* limit distribution of point configurations \(\omega _N\) that attain the supremum in (13.0.1).
$$\begin{aligned}\delta _N(A)=\sup \limits _{\omega _N\subset A}\min \limits _{x, y\in \omega _N\atop x\ne y} \left| x-y\right| \end{aligned}$$
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