@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-00870233v1> a dcat:Dataset ;
    dct:description """
              Let us consider a real Lévy process $X$ whose transition probabilities are absolutely continuous and have bounded densities. Then the law of the past supremum of $X$ before any deterministic time $t$ is absolutely continuous on $(0,\\infty)$. We show that its density $f_t(x)$ is continuous on $(0,\\infty)$ if and only if the potential density $h'$ of the upward ladder height process is continuous on $(0,\\infty)$. Then we prove that $f_t$ behaves at 0 as $h'$. We also describe the asymptotic behaviour of $f_t$, when $t$ tends to infinity. Then some related results are obtained for the density of the meander and this of the entrance law of the Lévy process conditioned to stay positive.
            """ ;
    dct:identifier "hal-00870233" ;
    dct:issued "2026-05-09T11:29:26.228946"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T11:29:26.228951"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "The asymptotic behavior of the density of the supremum of Lévy processes" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00870233v1/resource/e80c64c8-7c72-47d1-978d-906f6f34d3db> ;
    dcat:keyword "60g51-et-60j75",
        "asymptotic-behaviour",
        "conditioning-to-stay-positive",
        "density",
        "infoeu-reposemanticspreprint",
        "mathmath-prmathematics-mathprobability-mathpr",
        "meander",
        "past-supremum",
        "preprints-working-papers-",
        "renewal-function" ;
    dcat:landingPage <https://hal.science/hal-00870233> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00870233v1/resource/e80c64c8-7c72-47d1-978d-906f6f34d3db> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-09T11:29:26.231955"^^xsd:dateTime ;
    dct:modified "2026-05-09T11:29:26.210782"^^xsd:dateTime ;
    dct:title "The asymptotic behavior of the density of the supremum of Lévy processes" ;
    dcat:accessURL <https://hal.science/hal-00870233> .

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

<https://hal.science/hal-00870233> a foaf:Document .