BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tanja Schindler (Scuola Normale Superiore di Pisa (Italy)) DTSTART:20210422T140000Z DTEND:20210422T150000Z DTSTAMP:20260423T023014Z UID:DinAmicI/22 DESCRIPTION:Title: Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-p reserving dynamical systems\nby Tanja Schindler (Scuola Normale Superi ore di Pisa (Italy)) as part of DinAmicI: Another Internet Seminar\n\n\nAb stract\nWe are interested in the limit behaviour of Birkhoff sums over an infinite sigma-finite measure space. If the observable is integrable then — by a classical theorem by Aaronson — there exists no sequence of rea l numbers such that the Birkhoff sum normed by this sequence converges alm ost surely to 1. Under strong mixing conditions on the underlying system w e prove a generalized strong law of large numbers for integrable observabl es using a truncated sum adding a suitable number of terms depending on th e point of evaluation. For f not integrable we give conditions on f such t hat the Birkhoff sum normed by a sequence of real numbers converges almost surely to 1. Joint work with Claudio Bonanno.\n LOCATION:https://researchseminars.org/talk/DinAmicI/22/ END:VEVENT END:VCALENDAR