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Sbornik: Mathematics, 2008, Volume 199, Issue 11, Pages 1579–1595
DOI: https://doi.org/10.1070/SM2008v199n11ABEH003973 (Mi sm3943) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Asymptotics of weighted best-packing on rectifiable sets

S. V. Borodachova, E. B. Saffb, D. P. Hardinb

a School of Mathematics, Georgia Institute of Technology
b Center for Constructive Approximation, Department of Mathematics, Vanderbilt University
English version PDF (339 kB) Citations (6) Russian version article
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DOI: https://doi.org/10.1070/SM2008v199n11ABEH003973
Abstract: We investigate the asymptotic behaviour, as $N$ grows, of the largest minimal weighted pairwise distance between $N$ points restricted to a rectifiable compact set embedded in Euclidean space, and we find the limit distribution of asymptotically optimal configurations.
Bibliography: 23 titles.
Received: 11.09.2007 and 15.02.2008
Bibliographic databases:
UDC: 514.174
MSC: Primary 11K41, 70F10, 28A78; Secondary 78A30, 52A40
Language: English
Original paper language: Russian
Citation: S. V. Borodachov, E. B. Saff, D. P. Hardin, “Asymptotics of weighted best-packing on rectifiable sets”, Sb. Math., 199:11 (2008), 1579–1595
Citation in format AMSBIB
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\by S.~V.~Borodachov, E.~B.~Saff, D.~P.~Hardin
\paper Asymptotics of weighted best-packing on rectifiable sets
\jour Sb. Math.
\yr 2008
\vol 199
\issue 11
\pages 1579--1595
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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