Title	A continuum model of mean field coupled circle maps
Creator	Balint, Peter
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-03-19T10:00
Description	We consider a model of globally coupled circle maps, the finite version of which was studied in the works of Koiller-Young, Fernandez and Balint-Selley. In the continuum version the state of the system is described by a density on the circle. For a fairly general class of expanding circle maps we show that, for sufficiently small coupling, there is a unique invariant density. For sufficiently strong coupling the density converges to a Dirac mass that moves chaotically on the circle. This is joint work with G. Keller, F. Selley and I.P. Toth.
Extent	45 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Probability theory and stochastic processes; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Technical University of Budapest
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-09-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372058
URI	http://hdl.handle.net/2429/67191
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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