BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Wael Bahsoun (Loughborough) DTSTART:20210712T133000Z DTEND:20210712T144500Z DTSTAMP:20260513T213331Z UID:BODS/19 DESCRIPTION:Title: Tr ansfer operators and BV spaces: from classic to anisotropic\nby Wael B ahsoun (Loughborough) as part of Bremen Online Dynamics Seminar\n\n\nAbstr act\nSmooth ergodic theory aims to analyse the long-term statistics\nof ch aotic dynamical systems. There are several analytic and\nprobabilistic too ls that are used to answer such questions. Each of\nthese approaches has i ts advantages and its shortcomings\, depending on\nthe system under consid eration. In this presentation\, I will focus on\ntransfer operator techniq ues and spectral methods\, which are known to be\nvery powerful when deali ng with uniformly expanding\, or uniformly\nhyperbolic systems. The first half of this talk will be rather\nintroductory\, aimed at non-experts\, fo cusing on ideas behind this\napproach through simple\, yet important examp les. In the second half of\nthe talk\, I will discuss a recent joint work with C. Liverani\, whose\nlong-term goal is to provide a good spectral pic ture for piecewise\nhyperbolic systems with singularities (e.g. billiard m aps) in any\ndimension. In connection with this goal\, I will also discuss a recent\njoint work with F. Sélley on coupled map lattices.\n LOCATION:https://researchseminars.org/talk/BODS/19/ END:VEVENT END:VCALENDAR