@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-00690738v1> a dcat:Dataset ;
    dct:description """
              We study the absolute continuity of ergodic measures of Markov chains $X_{n+1}=F(X_n,Y_{n+1})$ for the discrete case, and $dX_t=b(X_t)dt+\\sigma(X_t).dW_t$ for the continuous case. In the discrete case, we provide with a method enabling to deal with the case where the chains has several invariant measures whereas previous works (c.f. \\cite{coquio1992calcul,gravereaux1988calcul}) made assumptions of contractivity, and hence unique ergodicity. Besides, the smoothness assumptions on $F$ are weakened. In the continuous case, we make stronger smoothness assumptions than \\cite{bogachev2009elliptic}, but non-degeneracy assumptions are strongly weakened. The proofs are based on Dirichlet forms theory, and ergodic theory arguments.
            """ ;
    dct:identifier "hal-00690738" ;
    dct:issued "2026-05-20T23:19:27.869219"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-20T23:19:27.869223"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Absolute continuity of Markov chains ergodic measures by Dirichlet forms methods" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00690738v1/resource/eb8cd91b-a54a-4c9d-8634-061a096dc8d1> ;
    dcat:keyword "60h07-37h00",
        "dirichlet-forms",
        "ergodic-theory",
        "infoeu-reposemanticspreprint",
        "malliavin-calculus",
        "markov-chains",
        "mathmath-prmathematics-mathprobability-mathpr",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00690738> .

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    dct:format "HTML" ;
    dct:issued "2026-05-20T23:19:27.873548"^^xsd:dateTime ;
    dct:modified "2026-05-20T23:19:27.844967"^^xsd:dateTime ;
    dct:title "Absolute continuity of Markov chains ergodic measures by Dirichlet forms methods" ;
    dcat:accessURL <https://hal.science/hal-00690738> .

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

<https://hal.science/hal-00690738> a foaf:Document .