{"id":6997,"date":"2025-12-01T14:13:43","date_gmt":"2025-12-01T13:13:43","guid":{"rendered":"https:\/\/samovar.telecom-sudparis.eu\/?p=6997"},"modified":"2025-12-01T14:13:44","modified_gmt":"2025-12-01T13:13:44","slug":"avis-de-soutenance-de-lhdr-de-m-sandro-franceschi","status":"publish","type":"post","link":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/2025\/12\/01\/avis-de-soutenance-de-lhdr-de-m-sandro-franceschi\/","title":{"rendered":"AVIS DE SOUTENANCE de l’HDR de M. Sandro FRANCESCHI"},"content":{"rendered":"\n

L’Ecole doctorale : Ecole Doctorale de l’Institut Polytechnique de Paris

et le Laboratoire de recherche SAMOVAR – Services r\u00e9partis, Architectures, Mod\u00e9lisation, Validation, Administration des R\u00e9seaux<\/strong>
pr\u00e9sentent<\/p>\n\n\n\n

l\u2019AVIS DE SOUTENANCE de l’HDR de Monsieur Sandro FRANCESCHI<\/strong>
Autoris\u00e9 \u00e0 pr\u00e9senter ses travaux en vue de l\u2019obtention de l’Habilitation \u00e0 Diriger des Recherches de l’Institut Polytechnique de Paris, pr\u00e9par\u00e9 \u00e0 T\u00e9l\u00e9com SudParis en :<\/p>\n\n\n\n

\u00ab\u00a0Math\u00e9matiques\u00a0\u00bb <\/strong><\/p>\n\n\n\n

\u00ab Processus stochastiques r\u00e9fl\u00e9chis dans les c\u00f4nes :
approches analytiques, combinatoires et alg\u00e9briques \u00bb<\/strong><\/p>\n\n\n\n

le JEUDI 11 D\u00e9CEMBRE 2025 \u00e0 14h<\/p>\n\n\n\n

dans la Salle Paul L\u00e9vy, LPSM, Jussieu <\/p>\n\n\n\n

https:\/\/webconf.imt.fr\/frontend\/rooms\/qrt-zff-fpj-upu\/join<\/a><\/p>\n\n\n\n

(lien de secours: https:\/\/telecom-paris.zoom.us\/j\/97956866460?pwd=OdUQUbvkVeTngtkmUvKawGUXMLsTIP.1<\/a> )<\/p>\n\n\n\n

Membres du jury :<\/strong>
Fran\u00e7ois Baccelli, INRIA Paris, ENS, Examinateur
Philippe Biane, CNRS, Universit\u00e9 Gustave Eiffel, Rapporteur
Mireille Bousquet-M\u00e9lou, CNRS, Universit\u00e9 de Bordeaux, Examinatrice
Irina Kourkova, Sorbonne Universit\u00e9, Examinatrice
Jean-Fran\u00e7ois Le Gall, Universit\u00e9 Paris-Saclay, Examinateur
Neil O\u2019Connell, University College Dublin, Rapporteur
Kavita Ramanan, Brown University, Rapporteuse
Kilian Raschel, CNRS, Universit\u00e9 d\u2019Angers, Examinateur<\/p>\n\n\n\n

et des membres invit\u00e9s :<\/strong>
Guy Fayolle, INRIA Paris & Saclay
Ruth Williams, University of California<\/p>\n\n\n\n

R\u00e9sum\u00e9: Mes recherches portent sur les processus stochastiques r\u00e9fl\u00e9chis impliqu\u00e9s dans plusieurs mod\u00e8les, tels que les r\u00e9seaux de files d\u2019attente et les syst\u00e8mes de particules en interaction. Les diffusions r\u00e9fl\u00e9chis dans des c\u00f4nes y occupent une place centrale. Ces mod\u00e8les stochastiques ont \u00e9t\u00e9 d\u00e9velopp\u00e9s en raison de leurs nombreuses applications en recherche op\u00e9rationnelle, en th\u00e9orie du risque, en finance, en t\u00e9l\u00e9communications, en sciences des donn\u00e9es et \u00e9galement en biologie des populations. Ces syst\u00e8mes stochastiques soul\u00e8vent des questions relevant de nombreux domaines des math\u00e9matiques, notamment les probabilit\u00e9s, l\u2019analyse complexe et harmonique, la combinatoire analytique et la th\u00e9orie de Galois aux diff\u00e9rences.\u00a0<\/p>\n\n\n\n

L\u2019unit\u00e9 de ces recherches repose sur l\u2019analyse d\u2019\u00e9quations fonctionnelles \u00e0 noyau caract\u00e9risant le comportement de ces processus. Pour les \u00e9tudier, j\u2019ai d\u00e9velopp\u00e9 et adapt\u00e9 un ensemble de m\u00e9thodes analytiques, combinatoires et alg\u00e9briques : probl\u00e8mes fronti\u00e8res de type Riemann\u2013Hilbert et Carleman, m\u00e9thode du point col sur une courbe elliptique, invariants de Tutte, th\u00e9orie de Galois des \u00e9quations aux diff\u00e9rences, m\u00e9thode par compensation. Historiquement con\u00e7ues pour des mod\u00e8les discrets, ces approches sont \u00e9tendues ici au cadre continu et combin\u00e9es \u00e0 des outils de calcul stochastique, permettant ainsi d’\u00e9tudier des diffusions.<\/p>\n\n\n\n

Ces m\u00e9thodes offrent ainsi un cadre unifi\u00e9 pour aborder des probl\u00e9matiques vari\u00e9es : d\u00e9termination de lois explicites, calcul de probabilit\u00e9s de fuite ou de persistance, construction de fonctions harmoniques, asymptotiques fines, description de fronti\u00e8res de Martin, classification alg\u00e9brique et diff\u00e9rentielle de fonctions g\u00e9n\u00e9ratrices et transform\u00e9es de Laplace, \u00e9tude de distributions stationnaires ou encore de fonctions de Green. <\/p>\n","protected":false},"excerpt":{"rendered":"

L’Ecole doctorale : Ecole Doctorale de l’Institut Polytechnique de Paris et le Laboratoire de recherche SAMOVAR – Services r\u00e9partis, Architectures, Mod\u00e9lisation, Validation, Administration des R\u00e9seauxpr\u00e9sentent l\u2019AVIS DE SOUTENANCE de l’HDR de Monsieur Sandro FRANCESCHIAutoris\u00e9 \u00e0 pr\u00e9senter ses travaux en vue de l\u2019obtention de l’Habilitation \u00e0 Diriger des Recherches de l’Institut Polytechnique de Paris, pr\u00e9par\u00e9 \u00e0 […]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[286,615],"tags":[],"class_list":["post-6997","post","type-post","status-publish","format-standard","hentry","category-fractualites-ennews-fr","category-seminaire-sop","entry"],"_links":{"self":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts\/6997","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/comments?post=6997"}],"version-history":[{"count":2,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts\/6997\/revisions"}],"predecessor-version":[{"id":7004,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/posts\/6997\/revisions\/7004"}],"wp:attachment":[{"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/media?parent=6997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/categories?post=6997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samovar.telecom-sudparis.eu\/index.php\/wp-json\/wp\/v2\/tags?post=6997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}