Title	Birkhoff's ergodic theorem for measure-preserving transformations: the harder part
Creator	Franklin, Johanna
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-12-06T11:45
Description	This is a joint talk with Henry Towsner. In our 2014 paper "Randomness and Non-ergodic Systems", we showed that, given a non-Martin-Loef random point, one can construct a computable measure-preserving (but non-ergodic) transformation and a computable function for which the point fails to satisfy Birkhoff's ergodic theorem. A natural extension is to ask whether, given a weaker assumption, one can do the same with a lower semicomputable function. We summarize the technique used in our paper and then discuss the obstacles we have encountered in extending this approach to a weaker assumption.
Extent	44 minutes
Subject	Mathematics; Mathematical logic and foundations; Dynamical systems and ergodic theory; Logic and foundations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Hofstra University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348163
URI	http://hdl.handle.net/2429/61884
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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