BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pierre-Antoine Guihéneuf (Sorbonne Université) DTSTART:20211210T091500Z DTEND:20211210T104500Z DTSTAMP:20260423T021930Z UID:DSSUJ/31 DESCRIPTION:Title: T wo examples of systems with historic behaviour\nby Pierre-Antoine Guih éneuf (Sorbonne Université) as part of Dynamical systems seminar at the Jagiellonian University\n\nLecture held in 1016.\n\nAbstract\nA system is said to have historic behaviour if there is a\npositive Lebesgue measure s et of points having non convergent Birkhoff\naverages. The question of kno wing whether systems with historic\nbehaviour are abundant in some familie s of dynamics has recently\nregained attention\, with the recent works of Kiriki and Soma\, and\nBerger's definition of (local) emergence\, which me asures how big is the\nset of accumulation points of Birkhoff averages.\n\ nIn this talk\, I will present two examples of systems with historic\nbeha viour.\n\nThe first one\, obtained with Guarino and Santiago\, is a modifi cation of\nBowen's eye example in which the set of points with historic be haviour\nis of positive Lebesgue measure but nowhere dense.\n\nThe second one\, in collaboration with Andersson\, is the study of\nreparametrized li near flows of the two torus with two fixed points\; we\nobtain some Diopha ntine conditions on the flow's parameters under which\nthe system has/has not historic behaviour.\n LOCATION:https://researchseminars.org/talk/DSSUJ/31/ END:VEVENT END:VCALENDAR