@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-00794540v1> a dcat:Dataset ;
    dct:description """
              Let $U$ be a Haar distributed matrix in $\\mathbb U(n)$ or $\\mathbb O (n)$. In a previous paper, we proved that after centering, the two-parameter process \\[T^{(n)} (s,t) = \\sum_{i \\leq \\lfloor ns \\rfloor, j \\leq \\lfloor nt\\rfloor} |U_{ij}|^2\\] converges in distribution to the bivariate tied-down Brownian bridge. In the present paper, we replace the deterministic truncation of $U$ by a random one, where each row (resp. column) is chosen with probability $s$ (resp. $t$) independently. We prove that the corresponding two-parameter process, after centering and normalization by $n^{-1/2}$ converges to a Gaussian process. On the way we meet other interesting convergences.
            """ ;
    dct:identifier "hal-00794540" ;
    dct:issued "2026-05-14T03:45:15.311966"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-14T03:45:15.311974"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "RANDOM TRUNCATIONS OF HAAR DISTRIBUTED MATRICES AND BRIDGES" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00794540v1/resource/ea96bcaf-5e99-4596-83bf-2bc7b531cc50> ;
    dcat:keyword "15b52-60f17-60j65",
        "bivariate-brownian-bridge",
        "infoeu-reposemanticspreprint",
        "invariance-principle",
        "mathmath-prmathematics-mathprobability-mathpr",
        "orthogonal-ensemble",
        "preprints-working-papers-",
        "random-matrices",
        "unitary-ensemble" ;
    dcat:landingPage <https://hal.science/hal-00794540> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00794540v1/resource/ea96bcaf-5e99-4596-83bf-2bc7b531cc50> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-14T03:45:15.337806"^^xsd:dateTime ;
    dct:modified "2026-05-14T03:45:15.255344"^^xsd:dateTime ;
    dct:title "RANDOM TRUNCATIONS OF HAAR DISTRIBUTED MATRICES AND BRIDGES" ;
    dcat:accessURL <https://hal.science/hal-00794540> .

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

<https://hal.science/hal-00794540> a foaf:Document .