Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Discrepancy, separation and Riesz energy of finite point sets on compact connected Riemannian manifolds

Simple item page
dc.contributor.authorLeopardi, Paul
dc.date.accessioned2022-08-09T04:08:46Z
dc.date.available2022-08-09T04:08:46Z
dc.date.issued2013-09
dc.date.updated2021-08-01T08:27:32Z
dc.description.abstractOn a smooth compact connected d-dimensional Riemannian manifold M, if 0 < s < d then an asymptotically equidistributed sequence of finite subsets of M that is also well-separated yields a sequence of Riesz s-energies that converges to the energy double integral, with a rate of convergence depending on the geodesic ball discrepancy. This generalizes a known result for the sphere.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn2035-6803en_AU
dc.identifier.urihttp://hdl.handle.net/1885/270312
dc.language.isoen_AUen_AU
dc.provenancehttps://www.emis.de/journals/DRNA/ethic-code.html..."Dolomites Research Notes on Approximation is an open access journal" from publisher site (as at 9.8.2022)en_AU
dc.publisherPadova University Pressen_AU
dc.rights© 2013en_AU
dc.sourceDolomites Research Notes on Approximationen_AU
dc.titleDiscrepancy, separation and Riesz energy of finite point sets on compact connected Riemannian manifoldsen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issueSpecial Issueen_AU
local.bibliographicCitation.lastpage129en_AU
local.bibliographicCitation.startpage120en_AU
local.contributor.affiliationLeopardi, Paul, College of Science, ANUen_AU
local.contributor.authoruidLeopardi, Paul, u1576990en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor490101 - Approximation theory and asymptotic methodsen_AU
local.identifier.ariespublicationu1576990xPUB2en_AU
local.identifier.citationvolume6en_AU
local.identifier.doi10.14658/pupj-drna-2013-Special_Issue-12en_AU
local.publisher.urlhttps://www.emis.de/en_AU
local.type.statusPublished Versionen_AU

Downloads

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
leopardi-2013-dsr.pdf
Size:
202.72 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS