BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250816T044724EDT-0203KagU0t@132.216.98.100 DTSTAMP:20250816T084724Z DESCRIPTION:Title: Ergodic theorems along trees.\n\n\n Abstract: In the clas sical pointwise ergodic theorem for a probability measure preserving (pmp) transformation $T$\, one takes averages of a given integrable function ov er the intervals $\{x\, T(x)\, T^2(x)\, \hdots\, T^n(x)\}$ in front of the point $x$. We prove a “backward” ergodic theorem for a countable-to-one p mp $T$\, where the averages are taken over subtrees of the graph of T that are rooted at $x$ and lie behind $x$ (in the direction of $T^{-1}$). Surp risingly\, this theorem yields forward ergodic theorems for countable grou ps\, in particular\, one for pmp actions of free groups of finite rank\, w here the averages are taken along subtrees of the standard Cayley graph ro oted at the identity. This strengthens Bufetov’s theorem from 2000\, which was the most general result in this vein. This is joint work with Jenna Z omback.\n\n \n\nFor Zoom meeting information please contact dmitry.jakobso n [at] mcgill.ca\n DTSTART:20210115T190000Z DTEND:20210115T200000Z SUMMARY:Anush Tserunyan (ϲ) URL:/mathstat/channels/event/anush-tserunyan-mcgill-32 7559 END:VEVENT END:VCALENDAR