{"id":10164,"date":"2023-10-11T17:10:59","date_gmt":"2023-10-11T15:10:59","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=10164"},"modified":"2023-10-20T10:38:08","modified_gmt":"2023-10-20T08:38:08","slug":"dynamics-of-complex-henon-maps","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/dynamics-of-complex-henon-maps\/","title":{"rendered":"Colloquium: Dynamics\u00a0of complex H\u00e9non maps &ndash; Tien-Cuong Dinh (National University of Singapore)"},"content":{"rendered":"\n<p>H\u00e9non maps were introduced by Michel H\u00e9non as a simplified model of the Poincar\u00e9 section of the Lorenz model. They are among the most studied discrete-time&nbsp;dynamical systems that exhibit chaotic behavior.&nbsp;Complex H\u00e9non maps in any dimension have been extensively studied over the last three&nbsp;decades, in parallel with the development of pluripotential theory. We will present the&nbsp;dynamical properties of these maps such as the behavior of point orbits, variety orbits,&nbsp;equidistribution of periodic points and fine ergodic properties of the systems.&nbsp;This talk is based on the work of Bedford, Fornaess, Lyubich, Sibony, Smillie, and on&nbsp;recent work of the speaker in collaboration with Bianchi and Sibony.<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>Locandina:<\/p>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/www.dm.unipi.it\/wp-content\/uploads\/2023\/10\/Colloquium_Dinh-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Embed of Colloquium_Dinh-1.\"><\/object><a id=\"wp-block-file--media-3c1e168b-4f4c-40b5-85c6-81b351b2f185\" href=\"https:\/\/www.dm.unipi.it\/wp-content\/uploads\/2023\/10\/Colloquium_Dinh-1.pdf\">Colloquium_Dinh-1<\/a><a href=\"https:\/\/www.dm.unipi.it\/wp-content\/uploads\/2023\/10\/Colloquium_Dinh-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-3c1e168b-4f4c-40b5-85c6-81b351b2f185\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>H\u00e9non maps were introduced by Michel H\u00e9non as a simplified model of the Poincar\u00e9 section of the Lorenz model. They&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/dynamics-of-complex-henon-maps\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":51,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-10164","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1698076800,"unipievents_enddate":1698084000,"unipievents_place":"Aula Magna","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10164","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/51"}],"version-history":[{"count":9,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10164\/revisions"}],"predecessor-version":[{"id":10249,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10164\/revisions\/10249"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=10164"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=10164"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=10164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}