@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-00607809v3> a dcat:Dataset ;
    dct:description """
              We consider large time behavior of typical paths under the Anderson polymer measure. If $P$ is the measure induced by rate $\\kappa,$ simple, symmetric random walk on $Z^d$ started at $x,$ this measure is defined as $$ d\\mu(X)={Z^{-1} \\exp\\{\\beta\\int_0^T dW_{X(s)}(s)\\}dP(X) $$ where $\\{W_x:x\\in Z^d\\}$ is a field of $iid$ standard, one-dimensional Brownian motions, $\\beta>0, \\kappa>0$ and $Z$ the normalizing constant. We establish that the polymer measure gives a macroscopic mass to a small neighborhood of a typical path as $T \\to \\infty$, for parameter values outside the perturbative regime of the random walk, giving a pathwise approach to polymer localization, in contrast with existing results. The localization becomes complete as $\\frac{\\beta^2}{\\kappa}\\to\\infty$ in the sense that the mass grows to 1. The proof makes use of the overlap between two independent samples drawn under the Gibbs measure $\\mu$, which can be estimated by the integration by parts formula for the Gaussian environment. Conditioning this measure on the number of jumps, we obtain a canonical measure which already shows scaling properties, thermodynamic limits, and decoupling of the parameters.
            """ ;
    dct:identifier "hal-00607809" ;
    dct:issued "2026-05-28T23:00:08.053679"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-28T23:00:08.053697"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Overlaps and Pathwise Localization in the Anderson Polymer Model" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00607809v3/resource/e229845f-d3e6-4497-a4c8-36a89c7d67e4> ;
    dcat:keyword "brownian-polymer",
        "infoeu-reposemanticspreprint",
        "malliavin-calculus",
        "mathmath-prmathematics-mathprobability-mathpr",
        "overlap",
        "parabolic-anderson-model",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00607809> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00607809v3/resource/e229845f-d3e6-4497-a4c8-36a89c7d67e4> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-28T23:00:08.161487"^^xsd:dateTime ;
    dct:modified "2026-05-28T23:00:07.993152"^^xsd:dateTime ;
    dct:title "Overlaps and Pathwise Localization in the Anderson Polymer Model" ;
    dcat:accessURL <https://hal.science/hal-00607809> .

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

<https://hal.science/hal-00607809> a foaf:Document .