Title	Tropical limit of complex dynamical systems
Creator	Shishikura, Mitsuhiro
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-20T10:45
Description	Complex rational maps induce rich and interesting dynamics on the Riemann sphere. We consider what happens to the dynamics when a rational map tends to the boundary of moduli space, i.e. tends to a lower degree map. A typical example is given by a stretching quasiconformal deformation of Fatou sets. In this case, the limit can be described a piecewise linear map on a tree. We discuss an inverse problem and related questions on quasiconformal deformation of annuli.
Extent	50 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Dynamical systems and ergodic theory; Classical analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Kyoto University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-03-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343305
URI	http://hdl.handle.net/2429/60980
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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