{"id":42927,"date":"2023-01-18T15:45:28","date_gmt":"2023-01-18T13:45:28","guid":{"rendered":"https:\/\/www.fnm.um.si\/?p=42927"},"modified":"2023-01-18T15:46:46","modified_gmt":"2023-01-18T13:46:46","slug":"20-1-2023-ob-1200-seminar-iz-topologije-jan-boronski-a-classification-of-strange-attractors-the-inverse-limit-approach","status":"publish","type":"post","link":"https:\/\/www.fnm.um.si\/index.php\/2023\/01\/18\/20-1-2023-ob-1200-seminar-iz-topologije-jan-boronski-a-classification-of-strange-attractors-the-inverse-limit-approach\/","title":{"rendered":"20. 1. 2023 ob 12:00 Seminar iz topologije &#8211; Jan Boronski: A classification of strange attractors: the inverse limit approach"},"content":{"rendered":"<p style=\"text-align: center;\">Oddelek za matematiko in ra\u010dunalni\u0161tvo<br \/>\nFakulteta za naravoslovje in matematiko<br \/>\nUniverza v Mariboru<\/p>\n<p style=\"text-align: center;\">Oddelek za matematiko<br \/>\nIn\u0161titut za matematiko, fiziko in mehaniko<\/p>\n<p style=\"text-align: center;\"><strong>V A B I L O<\/strong><\/p>\n<p style=\"text-align: center;\">Seminar iz topologije svoje svoje delo nadaljuje v<\/p>\n<p style=\"text-align: center;\"><strong>petek, 20. 1. 2023, ob 12:00 uri v predavalnici P1<\/strong><strong>.<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>\u00a0<\/strong><strong>Predaval bo<\/strong>: Jan\u00a0Boronski (AGH University of Science and Technology, Krakow, Poland)<\/p>\n<p style=\"text-align: center;\"><strong>\u00a0<\/strong><strong>Naslov predavanja<\/strong>:\u00a0A classification of strange attractors: the inverse limit approach<\/p>\n<p style=\"text-align: center;\"><strong>\u00a0<\/strong><strong>Povzetek<\/strong>: \u00a0I\u00a0will present my joint work with Sonja \u0160timac on classification of strange attractors. Among the many results, our work relies on the notion of mild dissipation [CP], which allows for an inverse limit description, in terms of densely branching trees [BS].<\/p>\n<p style=\"text-align: center;\">For a large family of attractors, that include those of Lozi and Henon, two strange attractors are equivalent if and only if their kneading sequences coincide, if and only if their folding patterns agree.<\/p>\n<p style=\"text-align: center;\">References:<br \/>\n[BC]\u00a0M. Benedicks, L.A.E. Carleson, The dynamics of the Henon map, Annals of Mathematics 133 (1991), 73\u2013169.<br \/>\n[BS] J. Boro\u0144ski, S. \u0160timac, Densely branching trees as models for Henon-like and Lozi-like attractors, preprint 2021, arXiv:2104.14780<br \/>\n[CP]\u00a0S. Crovisier, E. Pujals, Strongly dissipative surface diffeomorphisms, Commentarii Mathematici Helvetici 93 (2018), 377\u2013400.<br \/>\n[MS]\u00a0M. Misiurewicz, S.\u00a0\u0160timac,\u00a0Symbolic dynamics for Lozi maps, Nonlinearity\u00a029\u00a0(2016), 3031\u20133046.<br \/>\n[WY] Wang, Q.; Young, L.-S. Strange attractors with one direction of instability. Comm. Math. Phys. 218 (2001), 1\u201397.<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\">Vljudno vabljeni!<br \/>\nIztok Bani\u010d in Tina Sovi\u010d<\/p>\n<p style=\"text-align: center;\">\n","protected":false},"excerpt":{"rendered":"<p>Oddelek za matematiko in ra\u010dunalni\u0161tvo Fakulteta za naravoslovje in matematiko Univerza v Mariboru Oddelek za matematiko In\u0161titut za matematiko, fiziko in mehaniko V A B I L O Seminar iz topologije svoje svoje delo nadaljuje v petek, 20. 1. 2023, ob 12:00 uri v predavalnici P1. \u00a0Predaval bo: Jan\u00a0Boronski (AGH University of Science and Technology, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[35],"tags":[],"class_list":["post-42927","post","type-post","status-publish","format-standard","hentry","category-prva-stran-dogodki-in-seminarji"],"publishpress_future_action":{"enabled":false,"date":"2026-05-12 15:45:15","action":"category","newStatus":"draft","terms":[],"taxonomy":"category"},"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/42927","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/comments?post=42927"}],"version-history":[{"count":2,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/42927\/revisions"}],"predecessor-version":[{"id":42933,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/42927\/revisions\/42933"}],"wp:attachment":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/media?parent=42927"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/categories?post=42927"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/tags?post=42927"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}