Asymptotics of weighted best-packing on rectifiable sets
Sbornik. Mathematics, Tome 199 (2008) no. 11, pp. 1579-1595
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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.
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@article{SM_2008_199_11_a0,
author = {S. V. Borodachov and E. B. Saff and D. P. Hardin},
title = {Asymptotics of weighted best-packing on rectifiable sets},
journal = {Sbornik. Mathematics},
pages = {1579--1595},
publisher = {mathdoc},
volume = {199},
number = {11},
year = {2008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2008_199_11_a0/}
}
TY - JOUR AU - S. V. Borodachov AU - E. B. Saff AU - D. P. Hardin TI - Asymptotics of weighted best-packing on rectifiable sets JO - Sbornik. Mathematics PY - 2008 SP - 1579 EP - 1595 VL - 199 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2008_199_11_a0/ LA - en ID - SM_2008_199_11_a0 ER -
S. V. Borodachov; E. B. Saff; D. P. Hardin. Asymptotics of weighted best-packing on rectifiable sets. Sbornik. Mathematics, Tome 199 (2008) no. 11, pp. 1579-1595. http://geodesic.mathdoc.fr/item/SM_2008_199_11_a0/