Title	Renormalization in some infinite rational IETs
Creator	Hooper, Pat
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-30T16:00
Description	An IET is rational if it translates points by rational amount. In a finite rational IET, all orbits are periodic. In an infinite IETs, this need not be the case. I will discuss some examples of infinite rational IETs in which it can be proved that almost every point is periodic. Further the dynamics on the aperiodic sets can be completely understood. Theory developed to understand these examples points out an interesting class of infinite IETs admitting a renormalization scheme (though it remains to be seen how effective this scheme is for understanding generic IETs). I will be discussing a preprint joint with Kasra Rafi and Anja Randecker, and a work in progress joint with Anna Tao.
Extent	59.0 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Algebraic geometry; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: City College of New York / CUNY Graduate Center
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-27
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385985
URI	http://hdl.handle.net/2429/72425
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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Renormalization in some infinite rational IETs Hooper, Pat

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