{"id":51728,"date":"2024-04-02T12:24:09","date_gmt":"2024-04-02T10:24:09","guid":{"rendered":"https:\/\/www.fnm.um.si\/?p=51728"},"modified":"2024-04-02T15:57:57","modified_gmt":"2024-04-02T13:57:57","slug":"8-4-2024-ob-1400-seminar-iz-topologije-serge-troubetzkoy-polygonal-billiards-in-piotr-oprocha-shadowing-property-entropy-invariant-measures-and-irregularity","status":"publish","type":"post","link":"https:\/\/www.fnm.um.si\/index.php\/2024\/04\/02\/8-4-2024-ob-1400-seminar-iz-topologije-serge-troubetzkoy-polygonal-billiards-in-piotr-oprocha-shadowing-property-entropy-invariant-measures-and-irregularity\/","title":{"rendered":"8. 4. 2024 ob 14:00 Seminar iz topologije &#8211; Serge Troubetzkoy : Polygonal billiards in Piotr Oprocha: Shadowing property, entropy, invariant measures and irregularity"},"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 <\/strong><strong>ponedeljek, \u00a08. 4. \u00a02024 ob 14.00 v predavalnici 0\/46.1.<\/strong><\/p>\n<p style=\"text-align: center;\">Predavala bosta<\/p>\n<p style=\"text-align: center;\"><u><strong>\u00a01. Serge Troubetzkoy<\/strong><\/u> (14.00-15.00)<br \/>\n<strong>Naslov predavanja:<\/strong> Polygonal billiards<\/p>\n<p style=\"text-align: center;\"><strong>Abstract:<\/strong> Polygonal billiards come in two classes; rational or irrational. There are strong tools (Teichmuller dynamics) to\u00a0study billiards in rational polygons. On the other hand the only tools which researchers have used\u00a0to study\u00a0irrational polygons are elementary geometry, combinatorics, &#8230; The author will present a\u00a0survey of the state of the art on polygonal\u00a0\u00a0billiards,\u00a0with an emphasis on billiards in irrational polygons.<\/p>\n<p style=\"text-align: center;\">\n<p style=\"text-align: center;\"><strong><u>2. Piotr Oprocha<\/u><\/strong> (15.00-16.00)<br \/>\n<strong>Naslov predavanja:<\/strong> Shadowing property, entropy, invariant measures and irregularity<\/p>\n<p style=\"text-align: center;\"><strong>Abstract<\/strong>: In 1970s Bowen related hyperbolic dynamics with specification property and used this to show that there exists a unique measure of maximal entropy. Almost the same time Sigmund used specification property as a tool in characterization of simplex of invariant measures. Since then, these results were inspiration for numerous mathematicians in various studies of dynamics. Several relations between entropy, structure of the space of invariant measures and historical behavior of trajectories were discovered. In this talk we will present selected questions and results inspired by the above framework of research, with shadowing property as main tool in our considerations.<\/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, \u00a08. 4. \u00a02024 ob 14.00 v predavalnici 0\/46.1. Predavala bosta \u00a01. Serge Troubetzkoy (14.00-15.00) Naslov predavanja: Polygonal billiards Abstract: Polygonal [&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-51728","post","type-post","status-publish","format-standard","hentry","category-prva-stran-dogodki-in-seminarji"],"publishpress_future_action":{"enabled":false,"date":"2026-04-20 09:32:22","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\/51728","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=51728"}],"version-history":[{"count":3,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/51728\/revisions"}],"predecessor-version":[{"id":51740,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/posts\/51728\/revisions\/51740"}],"wp:attachment":[{"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/media?parent=51728"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/categories?post=51728"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fnm.um.si\/index.php\/wp-json\/wp\/v2\/tags?post=51728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}