@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#> .

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              We study a class of self-similar jump type SDEs driven by Hölder-continuous drift and noise coefficients. Using the Lamperti transformation for positive self-similar Markov processes we obtain a necessary and sufficient condition for almost sure extinction in finite time. We then show that for certain parameters pathwise uniqueness holds in a restricted sense, namely among solutions spending a Lebesgue-negligible amount of time at 0. A direct power transformation plays a key role.
            """ ;
    dct:identifier "hal-00706796" ;
    dct:issued "2026-05-15T20:10:01.339950"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-15T20:10:01.339956"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Hitting properties and non-uniqueness for SDE driven by stable processes" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00706796v1/resource/60934cd4-5734-436c-8de9-84cc705ea3e0> ;
    dcat:keyword "infoeu-reposemanticspreprint",
        "mathmath-prmathematics-mathprobability-mathpr",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00706796> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00706796v1/resource/60934cd4-5734-436c-8de9-84cc705ea3e0> a dcat:Distribution ;
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    dct:issued "2026-05-15T20:10:01.347683"^^xsd:dateTime ;
    dct:modified "2026-05-15T20:10:01.330702"^^xsd:dateTime ;
    dct:title "Hitting properties and non-uniqueness for SDE driven by stable processes" ;
    dcat:accessURL <https://hal.science/hal-00706796> .

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

<https://hal.science/hal-00706796> a foaf:Document .