@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-tel-00703181v2> a dcat:Dataset ;
    dct:description """
              We study some Lévy processes with values in the isometry group of Minkowski, De Sitter and Anti-de-Sitter space-times. The isometry group is seen as the frame bundle of the space-time and the Lévy processes we consider are some lift of relativistic markovian processes with values in the unitary tangent bundle of the space-time. Theses processes are relativistic in the sense that theirs trajectories are time-like and their generators are invariant by the isometries of the space-time. In the first part of this work we adapt to the case of a general hypoelliptic diffusion a result of Ben Arous and Gradinaru concerning the singularity of the hypoelliptic Green function. We deduce of this a local Wiener criterion for the relativistic diffusion in the isometry group of Minkowski space-time. In the two last parts we are interested to the asymptotic behavior of the stochastic flow associated to these Lévy processes in the different considered space-times. Under a integrability condition on the Lévy measure we compute explicitly the Lyapunov coefficient for such flows in the isometry group of Minkowski space-time. Then, we do a similar work in the context of de Sitter and Anti-de-Sitter space-times limiting ourselves to the case of diffusions. In fine, we explicit the Poisson boundary of the diffusion in the isometry group of de Sitter space-time.
            """ ;
    dct:identifier "NNT: 2012STRAD012" ;
    dct:issued "2026-06-03T21:30:29.935015"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-06-03T21:30:29.935030"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Infinitesimal and asymptotic behavior of some relativistic stochastic flow" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00703181v2/resource/6dff06be-f278-4e54-a85d-adba365c5e36> ;
    dcat:keyword "critere-de-wiener",
        "diffusion-hypoelliptique",
        "diffusion-relativiste",
        "infoeu-reposemanticsdoctoralthesis",
        "levy-processes",
        "mathmath-gmmathematics-mathgeneral-mathematics-mathgm",
        "minkowski-space-time",
        "processus-de-levy",
        "relativistic-markovian-processes",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00703181> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00703181v2/resource/6dff06be-f278-4e54-a85d-adba365c5e36> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-06-03T21:30:30.026834"^^xsd:dateTime ;
    dct:modified "2026-06-03T21:30:29.892874"^^xsd:dateTime ;
    dct:title "Infinitesimal and asymptotic behavior of some relativistic stochastic flow" ;
    dcat:accessURL <https://theses.hal.science/tel-00703181> .

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

<https://theses.hal.science/tel-00703181> a foaf:Document .