Title	New algorithms for sampling closed and/or confined equilateral polygons
Creator	Cantarella, Jason
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-11-18
Description	This talk gives an overview of new Markov chain methods based on symplectic geometry for understanding and sampling spaces of fixed edgelength polygons. The new methods are simple to code, and allow you to sample polygons in several different confinement models, as well as to prove some theorems about closed and confined random polygons. These are the first Markov chain methods for closed and confined polygons with a proof of geometric convergence to the correct probability measure on polygon space and statistically consistent error estimators for Markov chain Monte Carlo integration. The talk describes joint work with Clayton Shonkwiler (UGA).
Extent	29 minutes
Subject	Mathematics; Biology and other natural sciences; Manifolds and cell complexes; Mathematical biology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Georgia
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043772
URI	http://hdl.handle.net/2429/49726
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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