{"id":173,"date":"2026-04-25T12:09:47","date_gmt":"2026-04-25T10:09:47","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/?p=173"},"modified":"2026-04-25T12:11:51","modified_gmt":"2026-04-25T10:11:51","slug":"linformation-de-fisher-une-des-cles-de-lequation-de-boltzmann","status":"publish","type":"post","link":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/2026\/04\/25\/linformation-de-fisher-une-des-cles-de-lequation-de-boltzmann\/","title":{"rendered":"L\u2019information de Fisher, une des cl\u00e9s de l\u2019\u00e9quation de Boltzmann"},"content":{"rendered":"\n<p>La c\u00e9l\u00e8bre \u00e9quation de Boltzmann quantifie la croissance de l\u2019entropie pour des distributions statistiques d\u00e9pendant \u00e0 la fois des positions et vitesses des particules. Son analyse fait un pas notable avec la preuve de la r\u00e9gularit\u00e9 globale pour des distributions ind\u00e9pendantes de la variable d\u2019espace, y compris pour une classe importante d\u2019interactions tr\u00e8s singuli\u00e8res. La cl\u00e9 de\u00a0<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00222-025-01376-3\" target=\"_blank\" rel=\"noreferrer noopener\">cet article<\/a> de Cyril Imbert<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00222-025-01376-3\" target=\"_blank\" rel=\"noreferrer noopener\">, Luis Silvestre<\/a>\u00a0et <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00222-025-01376-3\" target=\"_blank\" rel=\"noreferrer noopener\">C\u00e9dric Villani<\/a>, paru dans <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00222-025-01376-3\" target=\"_blank\" rel=\"noreferrer noopener\"><em>Inventiones mathematicae<\/em><\/a>, \u00e9tait d\u2019\u00e9tablir la grande g\u00e9n\u00e9ralit\u00e9 de la d\u00e9croissance de l\u2019information statistique de Fisher sous l\u2019effet des collisions.<\/p>\n\n\n\n<p>Extrait de l&rsquo;<a href=\"http:\/\/insmi.cnrs.fr\/fr\/cnrsinfo\/linformation-de-fisher-une-des-cles-de-lequation-de-boltzmann\">article<\/a> publi\u00e9 en ligne par <a href=\"https:\/\/www.insmi.cnrs.fr\/fr\">CNRS math\u00e9matiques<\/a><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>La c\u00e9l\u00e8bre \u00e9quation de Boltzmann quantifie la croissance de l\u2019entropie pour des distributions statistiques d\u00e9pendant \u00e0 la fois des positions et vitesses des particules. Son analyse fait un pas notable avec la preuve de la r\u00e9gularit\u00e9 globale pour des distributions ind\u00e9pendantes de la variable d\u2019espace, y compris pour une classe importante d\u2019interactions tr\u00e8s singuli\u00e8res. La [&hellip;]<\/p>\n","protected":false},"author":138,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-173","post","type-post","status-publish","format-standard","hentry","category-actualites-scientifiques-de-cnrs-mathematiques"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/173","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/users\/138"}],"replies":[{"embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/comments?post=173"}],"version-history":[{"count":3,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/173\/revisions"}],"predecessor-version":[{"id":176,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/173\/revisions\/176"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/media?parent=173"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/categories?post=173"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/tags?post=173"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}