{"id":54,"date":"2024-09-04T18:18:00","date_gmt":"2024-09-04T16:18:00","guid":{"rendered":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/?p=54"},"modified":"2026-01-07T18:21:36","modified_gmt":"2026-01-07T17:21:36","slug":"fisher-information-for-boltzmann","status":"publish","type":"post","link":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/2024\/09\/04\/fisher-information-for-boltzmann\/","title":{"rendered":"Fisher information for Boltzmann"},"content":{"rendered":"\n<p>With <a rel=\"noreferrer noopener\" href=\"https:\/\/math.uchicago.edu\/~luis\/\" target=\"_blank\">Luis Silvestre<\/a> and <a href=\"https:\/\/cedricvillani.org\/\">C\u00e9dric Villani<\/a>, we proved that the Fisher information decreases along the flow of the space-homogeneous Boltzmann equation for a large class of collision kernels including the most classical ones. <\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"682\" height=\"1024\" src=\"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-content\/uploads\/sites\/93\/2026\/01\/ronald-fisher-4-uofa-682x1024.jpg\" alt=\"\" class=\"wp-image-35\" srcset=\"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-content\/uploads\/sites\/93\/2026\/01\/ronald-fisher-4-uofa-682x1024.jpg 682w, https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-content\/uploads\/sites\/93\/2026\/01\/ronald-fisher-4-uofa-200x300.jpg 200w, https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-content\/uploads\/sites\/93\/2026\/01\/ronald-fisher-4-uofa-768x1153.jpg 768w, https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-content\/uploads\/sites\/93\/2026\/01\/ronald-fisher-4-uofa.jpg 900w\" sizes=\"auto, (max-width: 682px) 100vw, 682px\" \/><\/figure>\n<\/div>\n\n\n<p>The preprint is available on <a href=\"https:\/\/hal.science\/hal-04687106v1\" target=\"_blank\" rel=\"noreferrer noopener\">hal<\/a> and <a rel=\"noreferrer noopener\" href=\"http:\/\/arxiv.org\/abs\/2409.01183\" target=\"_blank\">arxiv<\/a>. <\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>With Luis Silvestre and C\u00e9dric Villani, we proved that the Fisher information decreases along the flow of the space-homogeneous Boltzmann equation for a large class of collision kernels including the most classical ones. The preprint is available on hal and arxiv.<\/p>\n","protected":false},"author":138,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-54","post","type-post","status-publish","format-standard","hentry","category-preprint"],"_links":{"self":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/54","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=54"}],"version-history":[{"count":1,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/54\/revisions"}],"predecessor-version":[{"id":55,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/posts\/54\/revisions\/55"}],"wp:attachment":[{"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/media?parent=54"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/categories?post=54"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/perso.imj-prg.fr\/cyril-imbert\/wp-json\/wp\/v2\/tags?post=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}