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dc.contributor.authorBondarenko, A. V.
dc.contributor.authorHardin, Douglas P.
dc.contributor.authorSaff, Edward B.
dc.date.accessioned2016-09-22T10:46:38Z
dc.date.available2016-09-22T10:46:38Z
dc.date.issued2013-06-10
dc.identifier.urihttp://publications.mfo.de/handle/mfo/197
dc.descriptionOWLF 2013en_US
dc.description.abstractFor $N$-point best-packing configurations $\omega_N$ on a compact metric space $(A, \rho)$, we obtain estimates for the mesh-separation ratio $\gamma(\rho_N , A)$, which is the quotient of the covering radius of $\omega_N$ relative to $A$ and the minimum pairwise distance between points in $\omega_N$ . For best-packing configurations $\omega_N$ that arise as limits of minimal Riesz $s$-energy configurations as $s \to \infty$, we prove that $\gamma(\omega_N , A) ≤ 1$ and this bound can be attained even for the sphere. In the particular case when $N = 5$ on $S^1$ with $\rho$ the Euclidean metric, we prove our main result that among the infinitely many 5-point best-packing configurations there is a unique configuration, namely a square-base pyramid $\omega^*_5$, that is the limit (as $s \to \infty$) of 5-point $s$-energy minimizing configurations. Moreover, $\gamma(\omega^*_5, S^2) = 1$.
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2013,13
dc.subjectBest-Packingen_US
dc.subjectMesh Normen_US
dc.subjectSeparation Distanceen_US
dc.subjectQuasi-Uniformityen_US
dc.subjectRiesz Energyen_US
dc.subjectCovering Constanten_US
dc.titleMesh Ratios for Best-Packing and Limits of Minimal Energy Configurationsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2013-13
local.scientificprogramOWLF 2013
local.series.idOWP-2013-13
local.subject.msc31
local.subject.msc65
local.subject.msc57
local.subject.msc52
local.subject.msc28
dc.identifier.urnurn:nbn:de:101:1-2013061117486
dc.identifier.ppn1652445161


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