{"id":52319,"date":"2024-05-27T07:57:43","date_gmt":"2024-05-27T05:57:43","guid":{"rendered":"https:\/\/www.fnm.um.si\/?p=52319"},"modified":"2024-05-27T07:57:43","modified_gmt":"2024-05-27T05:57:43","slug":"27-5-2024-ob-1400-seminar-iz-topologije-sejal-babel-invariant-measures-of-minimal-homeomorphisms-on-manifolds","status":"publish","type":"post","link":"https:\/\/www.fnm.um.si\/index.php\/2024\/05\/27\/27-5-2024-ob-1400-seminar-iz-topologije-sejal-babel-invariant-measures-of-minimal-homeomorphisms-on-manifolds\/","title":{"rendered":"27. 5. 2024 ob 14:00 Seminar iz topologije &#8211; Sejal Babel: Invariant measures of minimal homeomorphisms on manifolds"},"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;\">V A B I L O<\/p>\n<p style=\"text-align: center;\">Seminar iz topologije svoje delo nadaljuje\u00a0<strong>v ponedeljek, 27. 5. 2024, ob 14:00 v predavalnici 0\/46.2<\/strong>.<\/p>\n<p style=\"text-align: center;\">Predaval bo: <strong>Sejal Babel (Jeggielonian University Krakow, Poland)<\/strong><\/p>\n<p style=\"text-align: center;\">Naslov predavanja:<strong> Invariant measures of minimal homeomorphisms on manifolds<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center;\"><strong>Abstract<\/strong>: \u00a0It is well known that a topological dynamical system\u2019s set of invariant measures is a nonempty metrizable Choquet simplex. In 1991, Downarowicz showed that all such simplices arise as the set of invariant measures of a class of minimal subshifts. Hence, we can ask: Which nonempty Choquet simplices can be realized as sets of invariant measures for minimal homeomorphisms on manifolds? It is known that for one-dimensional manifolds, the geometry of manifolds restricts the available dynamics. In particular, minimal homeomorphisms of the circle are uniquely ergodic. During the talk, we will discuss a class of minimal homeomorphisms of the Cantor set whose dynamics can be quite faithfully realized as minimal homeomorphisms on manifolds. Consequently, we will prove that every Choquet simplex is realized as a set of invariant measures of a minimal homeomorphism on every manifold of dimension two and higher carrying a minimal uniquely ergodic homeomorphism. The talk is based on results obtained in cooperation with Jernej \u010cin\u010d, Till Hauser, Dominik Kwietniak and Piotr Oprocha.<\/p>\n<p style=\"text-align: center;\">Vljudno vabljeni!<br \/>\nJernej \u010cin\u010d in Tina Sovi\u010d<\/p>\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 delo nadaljuje\u00a0v ponedeljek, 27. 5. 2024, ob 14:00 v predavalnici 0\/46.2. Predaval bo: Sejal Babel (Jeggielonian University Krakow, Poland) Naslov predavanja: Invariant measures [&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-52319","post","type-post","status-publish","format-standard","hentry","category-prva-stran-dogodki-in-seminarji"],"publishpress_future_action":{"enabled":false,"date":"2026-04-19 22:12:10","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\/52319","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=52319"}],"version-history":[{"count":2,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/52319\/revisions"}],"predecessor-version":[{"id":52321,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/52319\/revisions\/52321"}],"wp:attachment":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/media?parent=52319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/categories?post=52319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/tags?post=52319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}