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DTSTART:20170101T000000
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BEGIN:VEVENT
DTSTART;TZID=UTC:20180220T163000
DTEND;TZID=UTC:20180220T173000
DTSTAMP:20211006T214211Z
CREATED:20211006T214211Z
LAST-MODIFIED:20211006T214211Z
UID:20154-1519144200-1519147800@www.ashoka.edu.in
SUMMARY:Ergodic Properties of Open Dynamical Systems
DESCRIPTION:Abstract: Ergodic Theory deals with the study of asymptotic behaviour of a dynamical system\, which is either a group action\, or a flow or a map on the state space. Dynamical systems can be broadly classified into closed and open systems. In closed systems\, the orbit of a point lie in the state space for all time\, whereas in open systems\, the orbit of a point may escape from the state space through a hole. A classic example of this escape phenomenon is in the study of the motion of a billiard ball on the table with a hole (pocket). The first account of open dynamical systems is due to Pianigiani and Yorke in 1979\, who were motivated by this example. This talk is a brief historical account of the development of the related theory and some potential questions. Ideas from symbolic dynamics and arithmetic dynamics will be presented in this context.
URL:https://www.ashoka.edu.in/event/ergodic-properties-of-open-dynamical-systems/
CATEGORIES:Offline
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