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dc.contributor.authorBárány, Imreen
dc.contributor.authorBlagojević, Pavleen
dc.contributor.authorDimitrijević-Blagojević, Aleksandraen
dc.date.accessioned2020-04-26T19:36:32Z-
dc.date.available2020-04-26T19:36:32Z-
dc.date.issued2013-01-01en
dc.identifier.issn0179-5376en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/569-
dc.description.abstractA k-fan in the plane is a point x∈ℝ2 and k halflines starting from x. There are k angular sectors σ1,...,σk between consecutive halflines. The k-fan is convex if every sector is convex. A (nice) probability measure μ is equipartitioned by the k-fan if μ(σi)=1/k for every sector. One of our results: Given a nice probability measure μ and a continuous function f defined on sectors, there is a convex 5-fan equipartitioning μ with f(σ1)=f(σ2)=f(σ3).en
dc.publisherSpringer Link-
dc.relationEuropean Union’s Seventh Framework Programme (FP7/2007-2013) / ERC, Grant agreement no. 247029-SDModels-
dc.relationAdvanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security-
dc.relation.ispartofDiscrete and Computational Geometryen
dc.subjectConvex k-fans | Equipartitions | Functions on sectors | Measuresen
dc.titleFunctions, Measures, and Equipartitioning Convex k-Fansen
dc.typeArticleen
dc.identifier.doi10.1007/s00454-012-9467-8en
dc.identifier.scopus2-s2.0-84873740024en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage382en
dc.relation.lastpage401en
dc.relation.issue2en
dc.relation.volume49en
dc.description.rankM22-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0003-3649-9897-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php-
crisitem.project.fundingProgramDirectorate for Education & Human Resources-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089-
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