BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Cristóbal Rojas (Universidad Andrés Bello) DTSTART:20200721T150000Z DTEND:20200721T160000Z DTSTAMP:20260423T004824Z UID:CTA/14 DESCRIPTION:Title: Sta tistical Chaos — a new barrier in the prediction/simulation of physical systems\nby Cristóbal Rojas (Universidad Andrés Bello) as part of Co mputability theory and applications\n\n\nAbstract\nIt is well known that f or systems exhibiting “sensitivity to initial conditions”\, it is prac tically impossible to predict individual trajectories beyond a very limite d time horizon. To overcome this difficulty\, a statistical approach was developed -- while the computed trajectories are not individually meaningf ul\, when regarded as an ensemble\, their average represents a statistical distribution that can be used to make meaningful probabilistic prediction s about the system. This statistical paradigm is ubiquitous in modern appl ications. In this talk we present a new obstacle in applying the statisti cal approach. We show that the statistical behavior of a parametrized syst em may exhibit “sensitivity to parameters”\, and that this may lead to non computability of the limiting\, meaningful\, statistical distribution . We will explain all this in the simplest nonlinear class of systems: qua dratic maps of the interval [0\,1]. This is joint work with M. Yampolsky.\ n LOCATION:https://researchseminars.org/talk/CTA/14/ END:VEVENT END:VCALENDAR