BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Argyris Christodoulou (Aristotle University of Thessaloniki) DTSTART:20221115T140000Z DTEND:20221115T150000Z DTSTAMP:20260422T201404Z UID:CAvid/90 DESCRIPTION:Title: G eneralising the Denjoy-Wolff theorem\nby Argyris Christodoulou (Aristo tle University of Thessaloniki) as part of CAvid: Complex Analysis video s eminar\n\nLecture held in N/A.\n\nAbstract\nThe starting point for this ta lk is the classical Denjoy-Wolff theorem\, which completely describes the behaviour of the iterates of a holomorphic self-map of the unit disc. Sinc e its inception there have been many attempts at generalising this result to include compositions of more than one map\, but as of yet there is no d efinitive result of this type. We approach this subject by asking the foll owing question: Is the result of the Denjoy-Wolff theorem stable when we p erturb the iterated function? In particular\, we study the dynamical behav iour of compositions arising from a sequence of self-maps of a Riemann sur face\, when the sequence itself converges to a holomorphic map. Based on j oint work with Marco Abate and Ian Short.\n LOCATION:https://researchseminars.org/talk/CAvid/90/ END:VEVENT END:VCALENDAR