@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00758686v1> a dcat:Dataset ;
    dct:description """
              Let K be a compact convex body in Rd, let Kn be the convex hull of n points chosen uniformly and independently in K, and let fi(Kn) denote the number of i-dimensional faces of Kn. We show that for planar convex sets, E(f0(Kn)) is increasing in n. In dimension d>=3 we prove that if lim( E((f[d -1](Kn))/(An^c)->1 when n->infinity for some constants A and c > 0 then the function E(f[d-1](Kn)) is increasing for n large enough. In particular, the number of facets of the convex hull of n random points distributed uniformly and independently in a smooth compact convex body is asymptotically increasing. Our proof relies on a random sampling argument.
            """ ;
    dct:identifier "Report N°: RR-8154" ;
    dct:issued "2026-06-03T07:33:25.340383"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-06-03T07:33:25.340391"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "The monotonicity of f-vectors of random polytopes" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00758686v1/resource/e6923a3c-9936-4fe2-91ff-1e560fb6d00d> ;
    dcat:keyword "complexity",
        "computational-geometry",
        "convex-hull",
        "infoeu-reposemanticsreport",
        "infoinfo-cgcomputer-science-cscomputational-geometry-cscg",
        "reports",
        "stochastic-geometry" ;
    dcat:landingPage <https://inria.hal.science/hal-00758686> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00758686v1/resource/e6923a3c-9936-4fe2-91ff-1e560fb6d00d> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-06-03T07:33:25.355532"^^xsd:dateTime ;
    dct:modified "2026-06-03T07:33:25.317066"^^xsd:dateTime ;
    dct:title "The monotonicity of f-vectors of random polytopes" ;
    dcat:accessURL <https://inria.hal.science/hal-00758686> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://inria.hal.science/hal-00758686> a foaf:Document .