@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-00850095v1> a dcat:Dataset ;
    dct:description """
              In this work we connect the theory of Dirichlet forms and direct stochastic calculus to obtain strong existence and pathwise uniqueness for Brownian motion that is perturbed by a series of constant multiples of local times at a sequence of points that has exactly one accumulation point in $\\mathbb{R}$. The considered process is identified as special distorted Brownian motion $X$ in dimension one and is studied thoroughly. Besides strong uniqueness, we present necessary and sufficient conditions for non-explosion, recurrence and positive recurrence as well as for $X$ to be semimartingale and possible applications to advection-diffusion in layered media.
            """ ;
    dct:identifier "hal-00850095" ;
    dct:issued "2026-05-10T04:00:24.372980"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-10T04:00:24.372985"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On countably skewed Brownian motion with accumulation point." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00850095v1/resource/b2fea985-ff6f-44ad-8e10-3b44901a6fe2> ;
    dcat:keyword "31c25-60j60-60j55-31c15-60b10",
        "infoeu-reposemanticspreprint",
        "local-time",
        "mathmath-prmathematics-mathprobability-mathpr",
        "pathwise-uniqueness",
        "positive-recurrence",
        "preprints-working-papers-",
        "recurrence",
        "skew-brownian-motion",
        "strong-existence",
        "transience" ;
    dcat:landingPage <https://inria.hal.science/hal-00850095> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00850095v1/resource/b2fea985-ff6f-44ad-8e10-3b44901a6fe2> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-10T04:00:24.378442"^^xsd:dateTime ;
    dct:modified "2026-05-10T04:00:24.360914"^^xsd:dateTime ;
    dct:title "On countably skewed Brownian motion with accumulation point." ;
    dcat:accessURL <https://inria.hal.science/hal-00850095> .

<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-00850095> a foaf:Document .