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Méthodes algorithmiques pour les réseaux algébriques

Author: Thomas CamusPhilippe Elbaz-VincentDamien StehléKarim BelabasPaul E GunnellsAll authors
Publisher: 2017.
Dissertation: Thèse de doctorat : Mathématiques : Université Grenoble Alpes (ComUE) : 2017.
Edition/Format:   Computer file : Document : Thesis/dissertation : French
Summary:
Les travaux présentés dans ce mémoire concernent les réseaux, qui sont des objets mathématiques fondamentaux pour de nombreux domaines tel que théorie des nombres et la cryptographie.Nous proposons dans un premier temps une généralisation et une implantation de l'algorithme de réduction de Lenstra, Lenstra et Lov'asz (algorithme LLL) dans le cadre algébrique simple des réseaux sur les anneaux d'entiers
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Details

Genre/Form: Thèses et écrits académiques
Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas Camus; Philippe Elbaz-Vincent; Damien Stehlé; Karim Belabas; Paul E Gunnells; Gabriele Nebe; Roland Bacher; Renaud Coulangeon; Graham Ellis; Communauté d'universités et d'établissements Université Grenoble Alpes.; École doctorale mathématiques, sciences et technologies de l'information, informatique (Grenoble).; Institut Fourier (Grenoble).
OCLC Number: 1019428933
Notes: Titre provenant de l'écran-titre.
Description: 1 online resource
Responsibility: Thomas Camus ; sous la direction de Philippe Elbaz-Vincent.

Abstract:

Les travaux présentés dans ce mémoire concernent les réseaux, qui sont des objets mathématiques fondamentaux pour de nombreux domaines tel que théorie des nombres et la cryptographie.Nous proposons dans un premier temps une généralisation et une implantation de l'algorithme de réduction de Lenstra, Lenstra et Lov'asz (algorithme LLL) dans le cadre algébrique simple des réseaux sur les anneaux d'entiers quadratiques, imaginaires et euclidiens.Nous nous attachons ensuite à présenter les notions de réseaux algébriques et de formes de Humbert, qui sont des généralisations dans un cadre algébrique aussi large que possible des notions classiques de réseaux euclidiens et de formes quadratiques. L'introduction de ces objets nous permet de présenter une adaptation et une implantation de l'algorithme de Plesken et Souvignier permettant de traiter efficacement les problèmes de l'isométrie et de la détermination des automorphismes pour les réseaux algébriques.Nous proposons finalement une étude détaillée de la complexité de ces deux problèmes. Nous montrons notamment qu'ils sont intiment reliés à des problèmes similaires sur les graphes. Cette réduction nous permet d'exhiber des bornes de complexité inédites.

This thesis deals with lattices, which are fundamental objects in many fields, such as number theory and cryptography.As a first step, we propose a generalization and an implantation of the Lenstra, Lenstra and Lov'asz algorithm (LLL algorithm) in the simple algebraic setting of lattices over quadratic imaginary and euclidean ring of integers.Then, we present the notions of algebraic lattices and Humbert forms, which are extensions of euclidean lattices and quadratic forms in a large algebraic setting. Introducing these objects leads us to develop and implant modifications of the Plesken and Souvignier algorithm. This algorithm efficiently solves the isometric lattices problem and the automorphism group computation problem for algebraic lattices.Eventually, we analyze in depth the complexity of this two algorithmic problems. We show that they are intimately related to similar problems on graphs. This reduction leads us to express unprecedented complexity bounds.

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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/1019428933<\/a>> # M\u00E9thodes algorithmiques pour les r\u00E9seaux alg\u00E9briques<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Thesis<\/a>, schema:CreativeWork<\/a>, bgn:ComputerFile<\/a>, schema:MediaObject<\/a> ;\u00A0\u00A0\u00A0\nbgn:inSupportOf<\/a> \"Th\u00E8se de doctorat : Math\u00E9matiques : Universit\u00E9 Grenoble Alpes (ComUE) : 2017.<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"1019428933<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/fr<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/forme_de_humbert<\/a>> ; # Forme de Humbert<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Topic\/isometrie_mathematiques<\/a>> ; # Isom\u00E9trie (math\u00E9matiques)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/methode_algorithmique<\/a>> ; # M\u00E9thode algorithmique<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/isometrie<\/a>> ; # Isom\u00E9trie<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/reseau_algebrique<\/a>> ; # R\u00E9seau alg\u00E9brique<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/automorphisme<\/a>> ; # Automorphisme<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Topic\/algorithmes<\/a>> ; # Algorithmes<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Topic\/anneaux_d_entiers<\/a>> ; # Anneaux d\'entiers<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/510\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:author<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/camus_thomas_1991<\/a>> ; # Thomas Camus<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/belabas_karim_1971<\/a>> ; # Karim Belabas<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/elbaz_vincent_philippe_19<\/a>> ; # Philippe Elbaz-Vincent<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/bacher_roland<\/a>> ; # Roland Bacher<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Organization\/institut_fourier_grenoble<\/a>> ; # Institut Fourier (Grenoble).<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/nebe_gabriele_1967<\/a>> ; # Gabriele Nebe<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/coulangeon_renaud_1968<\/a>> ; # Renaud Coulangeon<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Organization\/communaute_d_universites_et_d_etablissements_universite_grenoble_alpes<\/a>> ; # Communaut\u00E9 d\'universit\u00E9s et d\'\u00E9tablissements Universit\u00E9 Grenoble Alpes.<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/ellis_graham<\/a>> ; # Graham Ellis<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/stehle_damien_1981<\/a>> ; # Damien Stehl\u00E9<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Organization\/ecole_doctorale_mathematiques_sciences_et_technologies_de_l_information_informatique_grenoble<\/a>> ; # \u00C9cole doctorale math\u00E9matiques, sciences et technologies de l\'information, informatique (Grenoble).<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/gunnells_paul_e_1967<\/a>> ; # Paul E. Gunnells<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2017<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"This thesis deals with lattices, which are fundamental objects in many fields, such as number theory and cryptography.As a first step, we propose a generalization and an implantation of the Lenstra, Lenstra and Lov\'asz algorithm (LLL algorithm) in the simple algebraic setting of lattices over quadratic imaginary and euclidean ring of integers.Then, we present the notions of algebraic lattices and Humbert forms, which are extensions of euclidean lattices and quadratic forms in a large algebraic setting. Introducing these objects leads us to develop and implant modifications of the Plesken and Souvignier algorithm. This algorithm efficiently solves the isometric lattices problem and the automorphism group computation problem for algebraic lattices.Eventually, we analyze in depth the complexity of this two algorithmic problems. We show that they are intimately related to similar problems on graphs. This reduction leads us to express unprecedented complexity bounds.<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"Les travaux pr\u00E9sent\u00E9s dans ce m\u00E9moire concernent les r\u00E9seaux, qui sont des objets math\u00E9matiques fondamentaux pour de nombreux domaines tel que th\u00E9orie des nombres et la cryptographie.Nous proposons dans un premier temps une g\u00E9n\u00E9ralisation et une implantation de l\'algorithme de r\u00E9duction de Lenstra, Lenstra et Lov\'asz (algorithme LLL) dans le cadre alg\u00E9brique simple des r\u00E9seaux sur les anneaux d\'entiers quadratiques, imaginaires et euclidiens.Nous nous attachons ensuite \u00E0 pr\u00E9senter les notions de r\u00E9seaux alg\u00E9briques et de formes de Humbert, qui sont des g\u00E9n\u00E9ralisations dans un cadre alg\u00E9brique aussi large que possible des notions classiques de r\u00E9seaux euclidiens et de formes quadratiques. L\'introduction de ces objets nous permet de pr\u00E9senter une adaptation et une implantation de l\'algorithme de Plesken et Souvignier permettant de traiter efficacement les probl\u00E8mes de l\'isom\u00E9trie et de la d\u00E9termination des automorphismes pour les r\u00E9seaux alg\u00E9briques.Nous proposons finalement une \u00E9tude d\u00E9taill\u00E9e de la complexit\u00E9 de ces deux probl\u00E8mes. Nous montrons notamment qu\'ils sont intiment reli\u00E9s \u00E0 des probl\u00E8mes similaires sur les graphes. 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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Organization\/ecole_doctorale_mathematiques_sciences_et_technologies_de_l_information_informatique_grenoble<\/a>> # \u00C9cole doctorale math\u00E9matiques, sciences et technologies de l\'information, informatique (Grenoble).<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Organization<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"\u00C9cole doctorale math\u00E9matiques, sciences et technologies de l\'information, informatique (Grenoble).<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Organization\/institut_fourier_grenoble<\/a>> # Institut Fourier (Grenoble).<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Organization<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Institut Fourier (Grenoble).<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/bacher_roland<\/a>> # Roland Bacher<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Bacher<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Roland<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Roland Bacher<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/belabas_karim_1971<\/a>> # Karim Belabas<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1971<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Belabas<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Karim<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Karim Belabas<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/camus_thomas_1991<\/a>> # Thomas Camus<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1991<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Camus<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Thomas<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Thomas Camus<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/coulangeon_renaud_1968<\/a>> # Renaud Coulangeon<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1968<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Coulangeon<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Renaud<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Renaud Coulangeon<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/elbaz_vincent_philippe_19<\/a>> # Philippe Elbaz-Vincent<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"19..<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Elbaz-Vincent<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Philippe<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Philippe Elbaz-Vincent<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/ellis_graham<\/a>> # Graham Ellis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Ellis<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Graham<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Graham Ellis<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/gunnells_paul_e_1967<\/a>> # Paul E. Gunnells<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1967<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Gunnells<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Paul E.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Paul E. Gunnells<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/nebe_gabriele_1967<\/a>> # Gabriele Nebe<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1967<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Nebe<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Gabriele<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Gabriele Nebe<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Person\/stehle_damien_1981<\/a>> # Damien Stehl\u00E9<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1981<\/span>\" ;\u00A0\u00A0\u00A0\nschema:deathDate<\/a> \"\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Stehl\u00E9<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Damien<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Damien Stehl\u00E9<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/automorphisme<\/a>> # Automorphisme<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Automorphisme<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/forme_de_humbert<\/a>> # Forme de Humbert<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Forme de Humbert<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/isometrie<\/a>> # Isom\u00E9trie<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Isom\u00E9trie<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/methode_algorithmique<\/a>> # M\u00E9thode algorithmique<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"M\u00E9thode algorithmique<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Thing\/reseau_algebrique<\/a>> # R\u00E9seau alg\u00E9brique<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"R\u00E9seau alg\u00E9brique<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Topic\/algorithmes<\/a>> # Algorithmes<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algorithmes<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Topic\/anneaux_d_entiers<\/a>> # Anneaux d\'entiers<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Anneaux d\'entiers<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/4718730246#Topic\/isometrie_mathematiques<\/a>> # Isom\u00E9trie (math\u00E9matiques)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Isom\u00E9trie (math\u00E9matiques)<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/fr<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"fr<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.theses.fr\/2017GREAM033\/document<\/a>>\u00A0\u00A0\u00A0\nrdfs:comment<\/a> \"Acc\u00E8s au texte int\u00E9gral<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n