@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-00844584v2> a dcat:Dataset ;
    dct:description """
              Let $Z_{n}$ be the number of individuals in a subcritical BPRE evolving in the environment generated by iid probability distributions. Let $X$ be the logarithm of the expected offspring size per individual given the environment. Assuming that the density of $X$ has the form $$p_{X}(x)=x^{-\\beta -1}l_{0}(x)e^{-\\rho x}$$ for some $\\beta >2,$ a slowly varying function $l_{0}(x)$ and $\\rho \\in \\left( 0,1\\right),$ we find the asymptotic survival probability and prove a Yaglom type conditional limit theorem for the process. The survival probability decreases exponentially with an additional polynomial term related to the tail of $X$. The proof relies on a fine study of a random walk (with negative drift and heavy tails) conditioned to stay positive until time $n$ and to have a small positive value at time $n$, with $n$ tending to infinity.
            """ ;
    dct:identifier "hal-00844584" ;
    dct:issued "2026-05-07T17:50:05.740048"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T17:50:05.740052"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "On the survival of a class of subcritical branching processes in random environment" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00844584v2/resource/6e6f608d-5364-41cf-8757-bff348452220> ;
    dcat:keyword "60j80-60k37-60j05",
        "branching-processes",
        "heavy-tails",
        "infoeu-reposemanticsreport",
        "mathmath-prmathematics-mathprobability-mathpr",
        "random-environment",
        "random-walk",
        "reports",
        "survival-probability" ;
    dcat:landingPage <https://hal.science/hal-00844584> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00844584v2/resource/6e6f608d-5364-41cf-8757-bff348452220> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-07T17:50:05.742401"^^xsd:dateTime ;
    dct:modified "2026-05-07T17:50:05.729382"^^xsd:dateTime ;
    dct:title "On the survival of a class of subcritical branching processes in random environment" ;
    dcat:accessURL <https://hal.science/hal-00844584> .

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

<https://hal.science/hal-00844584> a foaf:Document .