{"id":485,"date":"2020-11-05T09:05:06","date_gmt":"2020-11-05T08:05:06","guid":{"rendered":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/?p=485"},"modified":"2020-12-14T09:17:58","modified_gmt":"2020-12-14T08:17:58","slug":"cathy-swaenepoel-laureate-du-prix-de-these-du-laboratoire-de-mathematiques-blaise-pascal","status":"publish","type":"post","link":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/cathy-swaenepoel-laureate-du-prix-de-these-du-laboratoire-de-mathematiques-blaise-pascal\/","title":{"rendered":"Cathy Swaenepoel, laur\u00e9ate du prix de th\u00e8se du laboratoire de math\u00e9matiques Blaise Pascal"},"content":{"rendered":"

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Cathy Swaenepoel, ma\u00eetresse de conf\u00e9rences \u00e0 Universit\u00e9 Paris Cit\u00e9, membre de l’Institut de math\u00e9matiques de Jussieu – Paris rive gauche (IMJ-PRG – CNRS, Sorbonne Universit\u00e9 & Universit\u00e9 Paris Cit\u00e9) est laur\u00e9ate de la cinqui\u00e8me \u00e9dition du prix de th\u00e8se du laboratoire de math\u00e9matiques Blaise Pascal. F\u00e9licitations !<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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Le prix, d’un montant de 4000 \u20ac est destin\u00e9 \u00e0 r\u00e9compenser une th\u00e8se en math\u00e9matiques soutenue dans un laboratoire fran\u00e7ais au cours des deux ann\u00e9es pr\u00e9c\u00e9dant l’ann\u00e9e de candidature. En 2020, le prix r\u00e9compense la th\u00e8se en math\u00e9matiques fondamentales de Swaenepoel Cathy.
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\u00a9 Cathy Swaenepoel<\/p>\n

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Cathy Swaenepoel est actuellement ma\u00eetre de conf\u00e9rences \u00e0 Universit\u00e9 Paris Cit\u00e9. Elle a \u00e9t\u00e9 distingu\u00e9e par la qualit\u00e9 de sa th\u00e8se de doctorat intitul\u00e9e \u00ab Chiffres des nombres premiers et d\u2019autres suites remarquables \u00bb, soutenue en juin 2019. Une c\u00e9r\u00e9monie de remise du prix, d\u2019un montant de 4000 euros, sera organis\u00e9e au laboratoire de math\u00e9matiques Blaise Pascal en 2021.<\/strong><\/p>\n

Sp\u00e9cialiste reconnue des techniques modernes de th\u00e9orie analytique des nombres<\/h3>\n

Apr\u00e8s un parcours universitaire brillant, int\u00e9gralement r\u00e9alis\u00e9 \u00e0 l\u2019universit\u00e9 d\u2019Aix-Marseille, Cathy Swaenepoel a entam\u00e9 une th\u00e8se de doctorat sous la direction de Jo\u00ebl Rivat en 2016. Elle s\u2019est rapidement affirm\u00e9e comme une sp\u00e9cialiste reconnue des techniques modernes de th\u00e9orie (analytique) des nombres. Le th\u00e8me principal de la th\u00e8se s\u2019inscrit dans l\u2019\u00e9tude des nombres premiers appartenant \u00e0 des ensembles rares.<\/p>\n

Son objet d’\u00e9tude : L’appartenance des nombres premiers \u00e0 des ensembles rares<\/h3>\n

Au XVIIe si\u00e8cle le math\u00e9maticien fran\u00e7ais Marin Mersenne posa la question de l\u2019existence d\u2019une infinit\u00e9 de nombres premiers qui, dans leur \u00e9criture en base 2, ne poss\u00e8dent que le chiffre 1. Cette question demeure un grand myst\u00e8re. La th\u00e8se de Cathy Swaenepoel apporte n\u00e9anmoins un premier \u00e9l\u00e9ment de r\u00e9ponse. Guid\u00e9e par un travail r\u00e9cent de Jean Bourgain (m\u00e9daille Fields 1994) pour la base 2, Cathy Swaenepoel a r\u00e9ussi \u00e0 \u00e9tablir une formule asymptotique pour le nombre de nombres premiers ayant une proportion strictement positive (explicite) de chiffres pr\u00e9assign\u00e9s, dans une base quelconque plus grande ou \u00e9gale \u00e0 2. Une cons\u00e9quence de cette formule est, qu\u2019\u00e0 partir d\u2019un nombre de chiffres assez grand, il existe toujours un nombre premier qui, dans son \u00e9criture en base 2, peut avoir environ 0,2% de ses chiffres (0 ou 1 en l\u2019occurrence) choisis au pr\u00e9alable (ainsi que les emplacements de ces chiffres dans le nombre, en dehors du premier et du dernier). Si r\u00e9pondre \u00e0 la question de Mersenne r\u00e9clamerait 100%, ce premier pas est d\u00e9j\u00e0 une prouesse math\u00e9matique. La d\u00e9monstration, longue de plus d\u2019une cinquantaine de pages, m\u00eale des techniques de la m\u00e9thode du cercle (arcs majeurs et arcs mineurs), des r\u00e9gions sans z\u00e9ro (tr\u00e8s fines) de fonctions L d\u2019Henryk Iwaniec et de l\u2019analyse harmonique (transform\u00e9es de Fourier).<\/p>\n<\/section>\n

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\u00c0<\/span> lire aussi<\/h2>\n

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Cathy Swaenepoel, ma\u00eetresse de conf\u00e9rences \u00e0 Universit\u00e9 Paris Cit\u00e9, membre de l’Institut de math\u00e9matiques de Jussieu – Paris rive gauche (IMJ-PRG – CNRS, Sorbonne Universit\u00e9 & Universit\u00e9 Paris Cit\u00e9) est laur\u00e9ate de la cinqui\u00e8me \u00e9dition du prix de th\u00e8se du laboratoire de math\u00e9matiques Blaise Pascal. F\u00e9licitations ! Le prix, d’un montant de 4000 \u20ac… Lire la suite Cathy Swaenepoel, laur\u00e9ate du prix de th\u00e8se du laboratoire de math\u00e9matiques Blaise Pascal<\/span><\/a><\/p>\n","protected":false},"author":13,"featured_media":488,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[1,15,17],"tags":[],"class_list":["post-485","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-faculte-de-sciences","category-formation","category-recherche"],"_links":{"self":[{"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/posts\/485","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/users\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/comments?post=485"}],"version-history":[{"count":8,"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/posts\/485\/revisions"}],"predecessor-version":[{"id":542,"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/posts\/485\/revisions\/542"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/media\/488"}],"wp:attachment":[{"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/media?parent=485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/categories?post=485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wordpress-test.app.u-pariscite.fr\/sciences\/wp-json\/wp\/v2\/tags?post=485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}