{"id":53,"date":"2013-11-28T20:19:03","date_gmt":"2013-11-28T19:19:03","guid":{"rendered":"http:\/\/www.latp.univ-mrs.fr\/~mathieu.dandonneau\/m2psav.new\/?page_id=53"},"modified":"2021-11-22T16:03:09","modified_gmt":"2021-11-22T15:03:09","slug":"theoremes-limites-et-grandes-deviations","status":"publish","type":"page","link":"https:\/\/m2psav.master.edu-math.org\/?page_id=53","title":{"rendered":"Th\u00e9or\u00e8mes limites et grandes d\u00e9viations"},"content":{"rendered":"<p>Th\u00e9or\u00e8mes limites et grandes d\u00e9viations<br \/>\nLorenzo Zambotti, LPMA (UPMC),<\/p>\n<p>Ce cours est divis\u00e9 en deux parties :<br \/>\n.dans la premi\u00e8re nous discutons la th\u00e9orie g\u00e9n\u00e9rale de la convergence \u00e9troite des mesures de probabilit\u00e9s et les applications aux processus continus et c\u00e0dl\u00e0g ;<br \/>\n.nous prouverons le th\u00e9or\u00e8me de Donsker sur la convergence (apr\u00e8s changement d&rsquo;\u00e9chelle) des marches al\u00e9atoires vers le mouvement brownien.<br \/>\nDans la deuxi\u00e8me partie nous \u00e9tudions les d\u00e9buts de la th\u00e9orie des grandes d\u00e9viations, avec des premi\u00e8res applications en m\u00e9canique statistique.<br \/>\nprogramme en pdf<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Th\u00e9or\u00e8mes limites et grandes d\u00e9viations Lorenzo Zambotti, LPMA (UPMC), Ce cours est divis\u00e9 en deux parties : .dans la premi\u00e8re nous discutons la th\u00e9orie g\u00e9n\u00e9rale de la convergence \u00e9troite des mesures de probabilit\u00e9s et les applications aux processus continus et c\u00e0dl\u00e0g ; .nous prouverons le th\u00e9or\u00e8me de Donsker sur la convergence (apr\u00e8s changement d&rsquo;\u00e9chelle) des [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-53","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=\/wp\/v2\/pages\/53","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=53"}],"version-history":[{"count":1,"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=\/wp\/v2\/pages\/53\/revisions"}],"predecessor-version":[{"id":54,"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=\/wp\/v2\/pages\/53\/revisions\/54"}],"wp:attachment":[{"href":"https:\/\/m2psav.master.edu-math.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=53"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}