@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-00007995v3> a dcat:Dataset ;
    dct:description """
              We give a characterization of piecewise $C^{1}$-homeomorphism of class $P$ of the circle with irrational rotation number and finitely many break points which are piecewise differentiably conjugate to $C^{1}$-diffeomorphims. The following properties are equivalent: i) $f$ is conjugate to a $C^{1}$-diffeomorphism of the circle by a piecewise $C^{1}$-homeomorphism of class $P$. ii) The number of break points of $f^{n}$ is bounded by some constant that doesn't depend on $n$. iii) The product of jumps of $f$ in the break points contained in a same orbit is equal $1$. iv) $f$ is conjugate to a $C^{1}$-diffeomorphism of the circle by a piecewise quadratic homeomorphism of class $P$. This characterization extend Liousse's Theorem for $PL$ homeomorphisms of the circle (\\cite{iL04}).
            """ ;
    dct:identifier "hal-00007995" ;
    dct:issued "2026-05-08T16:08:45.785942"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-08T16:08:45.785946"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Conjugacy of Piecewise $C^{1}$-Homeomorphisms of class $P$ of the circle" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00007995v3/resource/6b12faaf-5201-4d40-8f7b-01921ee848c7> ;
    dcat:keyword "break-point",
        "conjugacy",
        "infoeu-reposemanticspreprint",
        "jump",
        "mathmath-dsmathematics-mathdynamical-systems-mathds",
        "msc-37c15-37e10",
        "piecewise-c1-homeomorphism-of-class-p",
        "pl-homeomorphism",
        "preprints-working-papers-",
        "rotation-number" ;
    dcat:landingPage <https://hal.science/hal-00007995> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00007995v3/resource/6b12faaf-5201-4d40-8f7b-01921ee848c7> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-08T16:08:45.815021"^^xsd:dateTime ;
    dct:modified "2026-05-08T16:08:45.772534"^^xsd:dateTime ;
    dct:title "Conjugacy of Piecewise $C^{1}$-Homeomorphisms of class $P$ of the circle" ;
    dcat:accessURL <https://hal.science/hal-00007995> .

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

<https://hal.science/hal-00007995> a foaf:Document .