@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix ns1: <https://osf.io/vocab/2022/> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://osf.io/2f6r4> a ns1:Preprint ;
    dcterms:created "2025-05-29"^^rdf:string ;
    dcterms:creator <https://osf.io/zh35v> ;
    dcterms:dateAccepted "2025-05-29"^^rdf:string ;
    dcterms:dateCopyrighted "2021"^^rdf:string ;
    dcterms:dateSubmitted "2025-05-29"^^rdf:string ;
    dcterms:description "In order to discuss the 1⁄f problem, the statistics of the branching process of a particle in a multiplicative medium is developed by taking into account random particle immigration.  The probability distribution function of the number of particles found in the medium at any fixed time and/or of particles detected in a time interval is obtained in closed form.  These results are applied to the case where exactly two particles are produced by branching."^^rdf:string ;
    dcterms:identifier "https://osf.io/2f6r4"^^rdf:string ;
    dcterms:modified "2025-05-29"^^rdf:string ;
    dcterms:publisher <https://osf.io/preprints/osf> ;
    dcterms:rights <https://creativecommons.org/publicdomain/zero/1.0/legalcode> ;
    dcterms:subject <https://api.osf.io/v2/subjects/584240d954be81056ceca973>,
        <https://api.osf.io/v2/subjects/584240d954be81056ceca9a1>,
        <https://api.osf.io/v2/subjects/584240d954be81056ceca9c9>,
        <https://api.osf.io/v2/subjects/584240da54be81056cecabc4>,
        <https://api.osf.io/v2/subjects/584240da54be81056cecac0c> ;
    dcterms:title "1/f Fluctuations on a Chain of Causal Relationships (Ⅰ); Formalization"^^rdf:string ;
    dcterms:type <https://schema.datacite.org/meta/kernel-4/#Preprint> ;
    dcat:accessService <https://osf.io> ;
    prov:qualifiedAttribution [ dcat:hadRole ns1:admin-contributor ;
            prov:agent <https://osf.io/zh35v> ;
            ns1:order 0 ] ;
    foaf:isPrimaryTopicOf <https://share.osf.io/trove/index-card/6f3ef8c5-a25f-48b6-af59-e45e8d6e5c0e> ;
    ns1:hasDataResource <https://osf.io/k827s> ;
    ns1:hostingInstitution <https://cos.io/> ;
    ns1:isSupplementedBy <https://osf.io/k827s> ;
    ns1:keyword "1/f fluctuation"^^rdf:string,
        "1/f noise"^^rdf:string,
        "binary branching"^^rdf:string,
        "branching process"^^rdf:string,
        "causal relationship"^^rdf:string,
        "formalization"^^rdf:string,
        "model"^^rdf:string ;
    ns1:statedConflictOfInterest ns1:no-conflict-of-interest ;
    ns1:storageByteCount 425009 ;
    ns1:storageRegion <https://api.osf.io/v2/regions/us/> .

<https://api.osf.io/v2/regions/us/> skos:prefLabel "United States"@en .

<https://api.osf.io/v2/subjects/584240d954be81056ceca9c9> a skos:Concept ;
    skos:broader <https://api.osf.io/v2/subjects/584240d954be81056ceca9a1> ;
    skos:inScheme <https://bepress.com/reference_guide_dc/disciplines/> ;
    skos:prefLabel "Applied Mathematics"^^rdf:string .

<https://api.osf.io/v2/subjects/584240da54be81056cecabc4> a skos:Concept ;
    skos:broader <https://api.osf.io/v2/subjects/584240d954be81056ceca9a1> ;
    skos:inScheme <https://bepress.com/reference_guide_dc/disciplines/> ;
    skos:prefLabel "Physics"^^rdf:string .

<https://api.osf.io/v2/subjects/584240da54be81056cecac0c> a skos:Concept ;
    skos:broader <https://api.osf.io/v2/subjects/584240d954be81056ceca973> ;
    skos:inScheme <https://bepress.com/reference_guide_dc/disciplines/> ;
    skos:prefLabel "Applied Statistics"^^rdf:string .

<https://cos.io/> a dcterms:Agent,
        foaf:Organization ;
    dcterms:identifier "https://cos.io/"^^rdf:string,
        "https://ror.org/05d5mza29"^^rdf:string ;
    owl:sameAs <https://ror.org/05d5mza29> ;
    foaf:name "Center for Open Science"^^rdf:string .

<https://creativecommons.org/publicdomain/zero/1.0/legalcode> dcterms:identifier "https://creativecommons.org/publicdomain/zero/1.0/legalcode"^^rdf:string ;
    foaf:name "CC0 1.0 Universal"^^rdf:string .

<https://osf.io/preprints/osf> a dcterms:Agent,
        foaf:Organization ;
    dcterms:identifier "https://osf.io/"^^rdf:string,
        "https://osf.io/preprints/osf"^^rdf:string ;
    foaf:name "Open Science Framework"^^rdf:string .

<https://schema.datacite.org/meta/kernel-4/#Preprint> rdfs:label "Preprint"@en .

<https://api.osf.io/v2/subjects/584240d954be81056ceca973> a skos:Concept ;
    skos:broader <https://api.osf.io/v2/subjects/584240d954be81056ceca9a1> ;
    skos:inScheme <https://bepress.com/reference_guide_dc/disciplines/> ;
    skos:prefLabel "Statistics and Probability"^^rdf:string .

<https://osf.io> a dcterms:Agent,
        foaf:Organization ;
    dcterms:identifier "https://osf.io"^^rdf:string ;
    foaf:name "OSF"^^rdf:string .

<https://osf.io/k827s> a ns1:Project ;
    dcterms:created "2021-01-06"^^rdf:string ;
    dcterms:creator <https://osf.io/zh35v> ;
    dcterms:identifier "https://osf.io/k827s"^^rdf:string ;
    dcterms:publisher <https://osf.io> ;
    dcterms:title "Model of 1/f Noise"^^rdf:string .

<https://osf.io/zh35v> a dcterms:Agent,
        foaf:Person ;
    dcterms:identifier "https://osf.io/zh35v"^^rdf:string ;
    foaf:name "Takayuki Kobayashi "^^rdf:string .

<https://api.osf.io/v2/subjects/584240d954be81056ceca9a1> a skos:Concept ;
    skos:inScheme <https://bepress.com/reference_guide_dc/disciplines/> ;
    skos:prefLabel "Physical Sciences and Mathematics"^^rdf:string .

<https://bepress.com/reference_guide_dc/disciplines/> a skos:ConceptScheme ;
    dcterms:title "bepress Digital Commons Three-Tiered Taxonomy"^^rdf:string .