@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-00628298v4> a dcat:Dataset ;
    dct:description """
              We show two related results on circle diffeomorphisms. The first result is on quasi-reducibility: for a Baire-dense set of $\\alpha$, for any diffeomorphism $f$ of rotation number $\\alpha$, it is possible to accumulate $R_\\alpha$ with a sequence $h_n f h_n^{-1}$, $h_n$ being a diffeomorphism. The second result is: for a Baire-dense set of $\\alpha$, given two commuting diffeomorphisms $f$ and $g$, such that $f$ has $\\alpha$ for rotation number, it is possible to approach each of them by commuting diffeomorphisms $f_n$ and $g_n$ that are differentiably conjugated to rotations. In particular, it implies that for $\\alpha$ in this Baire-dense set, and if $\\beta$ is an irrational number such that $(\\alpha,\\beta)$ are not simultaneously Diophantine, the set of commuting diffeomorphisms $(f,g)$ with singular conjugacy, and with rotation numbers $(\\alpha,\\beta)$ respectively, is $C^\\infty$-dense in the set of commuting diffeomorphisms with rotation numbers $(\\alpha,\\beta)$.
            """ ;
    dct:identifier "hal-00628298" ;
    dct:issued "2026-05-26T14:05:39.990341"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-26T14:05:39.990348"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Circle Diffeomorphisms: Quasi-reducibility and Commuting Diffeomorphisms" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00628298v4/resource/02fe5f4f-ceed-4f1b-b1a1-4006a761f17e> ;
    dcat:keyword "circle-diffeomorphisms",
        "commuting-diffeomorphisms",
        "infoeu-reposemanticspreprint",
        "liouville-rotation-number",
        "mathmath-dsmathematics-mathdynamical-systems-mathds",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00628298> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00628298v4/resource/02fe5f4f-ceed-4f1b-b1a1-4006a761f17e> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-26T14:05:40.021283"^^xsd:dateTime ;
    dct:modified "2026-05-26T14:05:39.968202"^^xsd:dateTime ;
    dct:title "Circle Diffeomorphisms: Quasi-reducibility and Commuting Diffeomorphisms" ;
    dcat:accessURL <https://hal.science/hal-00628298> .

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

<https://hal.science/hal-00628298> a foaf:Document .

