@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 """
              For a topological dynamical system consisting of a continuous map f, and a (not necessarily compact) subset Z of X, Bowen (1973) defined a dimension-like version of entropy, h_X(f,Z). In the same work, he introduced a notion of entropy-conjugacy for pairs of invertible compact systems: the systems (X,f) and (Y,g) are entropy-conjugate if there exist invariant Borel subsets X' of X and Y' of Y such that h_X(f,X\\setminus X') < h_X(f,X), h_Y(g,Y \\setminus Y') < h_Y(g,Y), and (X',f|_{X'}) is topologically conjugate to (Y',g|_{Y'}). Bowen conjectured that two mixing shifts of finite type are entropy-conjugate if they have the same entropy. We prove that two mixing shifts of finite type with equal entropy and left ideal class are entropy-conjugate. Consequently, in every entropy class Bowen's conjecture is true up to finite index.
            """ ;
    dct:identifier "hal-00871620" ;
    dct:issued "2026-05-09T10:22:09.144236"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T10:22:09.144241"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Bowen's entropy-conjugacy conjecture is true up to finite index" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00871620v1/resource/f4ac3c58-8404-4b7e-837a-780d66c9a85f> ;
    dcat:keyword "dimensional-entropy",
        "entropy-conjugacy",
        "infoeu-reposemanticspreprint",
        "left-ideal-class",
        "mathmath-dsmathematics-mathdynamical-systems-mathds",
        "preprints-working-papers-",
        "primary-37a35-secondary-37b10-37c45",
        "resolving-maps",
        "subshifts-of-finite-type",
        "symbolic-dynamics",
        "topological-conjugacy",
        "topological-entropy" ;
    dcat:landingPage <https://hal.science/hal-00871620> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00871620v1/resource/f4ac3c58-8404-4b7e-837a-780d66c9a85f> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-09T10:22:09.145865"^^xsd:dateTime ;
    dct:modified "2026-05-09T10:22:09.123328"^^xsd:dateTime ;
    dct:title "Bowen's entropy-conjugacy conjecture is true up to finite index" ;
    dcat:accessURL <https://hal.science/hal-00871620> .

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