Title	Integrability of Miquel dynamics for circle patterns
Creator	Ramassamy, Sanjay
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-14T17:22
Description	A circle pattern with the combinatorics of the square grid is an embedding of the square grid such that every face admits a circumcircle. Using Miquel's six circles theorem, we define a dynamical system on the space of such circle patterns on a flat torus. Simulations seem to indicate that this is an integrable system. I will discuss work in progress which provides some results in this direction.
Extent	39 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Ordinary differential equations; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Brown University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-01-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340383
URI	http://hdl.handle.net/2429/60028
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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