@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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    dct:description """
              We are interested in the linearization of some families of analytic germs. By generalizing definitions and properties of transfinite diameter, we obtain a polynomial majoration theorem that works both for the complex and the p-adic numbers. Then these tools are used to give a new proof of Perez-Marco's theorem about the linearization of non-resonant families of analytic germs under a polynomial perturbation. This proof allows the generalization of Perez-Marco's theorem to the p-adic case. Furthermore, with this new point of view, we obtain a diophantine information and give new examples of non linearizable germs. We generalize this theorem to the case of a perturbation with rational maps. Finally, a reasonant case is studied and we give a new proof, more elementary, of some properties of the centralizer of germs tangent to identity.
            """ ;
    dct:identifier "tel-00069473" ;
    dct:issued "2026-05-19T19:42:31.769706"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-19T19:42:31.769721"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Problems of linearization in some families of analytic germs." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00069473v1/resource/b9c1ba81-e6d4-4c58-a203-f37748b362d4> ;
    dcat:keyword "capacite",
        "capacity",
        "condition-diophantienne",
        "diametre-transfini",
        "diophantine-condition",
        "dynamical-systems",
        "formes-normales",
        "infoeu-reposemanticsdoctoralthesis",
        "linearisation",
        "linearization",
        "mathmathematics-math",
        "normal-forms",
        "petits-diviseurs",
        "resonance",
        "small-divisors",
        "systemes-dynamiques",
        "theses",
        "transfinite-diameter" ;
    dcat:landingPage <https://theses.hal.science/tel-00069473> .

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    dct:format "HTML" ;
    dct:issued "2026-05-19T19:42:31.865688"^^xsd:dateTime ;
    dct:modified "2026-05-19T19:42:31.709970"^^xsd:dateTime ;
    dct:title "Problems of linearization in some families of analytic germs." ;
    dcat:accessURL <https://theses.hal.science/tel-00069473> .

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    foaf:name "test_moissonnage_selune" .

<https://theses.hal.science/tel-00069473> a foaf:Document .