Title	Knotting statistics for polygons in lattice tubes
Creator	Beaton, Nicholas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-03-26T11:38
Description	I will discuss recent work with Chris Soteros and Jeremy Eng on the probabilities of different knot types for self-avoiding polygons in narrow tubes of the cubic lattice. Polygons in a tube can be characterised by a finite transfer matrix, and this allows for the derivation of pattern theorems, calculation of growth rates and exact enumeration. We also develop a static Monte Carlo method which allows us to sample polygons of a given size directly from a chosen Boltzmann distribution.
Extent	31.0 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 Melbourne
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-09-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0380940
URI	http://hdl.handle.net/2429/71723
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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