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- W2953250907 abstract "Given a compact $d$-rectifiable set $A$ embedded in Euclidean space and a distribution $rho(x)$ with respect to $d$-dimensional Hausdorff measure on $A$, we address the following question: how can one generate optimal configurations of $N$ points on $A$ that are well-separated and have asymptotic distribution $rho (x)$ as $Nto infty$? For this purpose we investigate minimal weighted Riesz energy points, that is, points interacting via the weighted power law potential $V=w(x,y)|x-y|^{-s}$, where $s>0$ is a fixed parameter and $w$ is suitably chosen. In the unweighted case ($wequiv 1$) such points for $N$ fixed tend to the solution of the best-packing problem on $A$ as the parameter $sto infty$." @default.
- W2953250907 created "2019-06-27" @default.
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- W2953250907 date "2006-02-11" @default.
- W2953250907 modified "2023-09-27" @default.
- W2953250907 title "Asymptotics for Discrete Weighted Minimal Riesz Energy Problems on Rectifiable Sets" @default.
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