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UID:2020102601223620201026T16000020201026T1650005f96cd9c9a068@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20201021T111802
DTSTART:20201026T160000
DTEND:20201026T165000
SUMMARY:Logic Seminar: A backward ergodic theorem and its forward implications, by Jenna Zomback
DESCRIPTION:Jenna Zomback (UIUC): A backward ergodic theorem and its forward implications A pointwise ergodic theorem for the action of a transformation $T$ on a probability space equates the global property of ergodicity of the transformation to its pointwise combinatorics. Our main result is a backward (in the direction of $T^{-1}$) ergodic theorem for countable-to-one probability measure preserving (pmp) transformations $T$. We discuss various examples of such transformations, including the shift map on Markov chains, which yields a new (forward) pointwise ergodic theorem for pmp actions of finitely generated countable groups, as well as one for the (non-pmp) actions of free groups on their boundary. This is joint work with Anush Tserunyan. Please click here to make changes to, or delete, this seminar announcement.
LOCATION:Zoom Chicago IL
CLASS:PRIVATE
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