Title	Thoughts on lattice knot statistics
Creator	Janse van Rensburg, Esaias J.
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-03-25T10:31
Description	The study of lattice knots in the cubic lattice started in 1988 when the Frisch-Wasserman-Delbruck conjecture was proven by Sumners and Whittington (J Phys A Math Gen 21: L857â 861, 1988), and also by Pippenger (Disc Appl Math 25: 273â 278, 1989). In this talk I will review this model and its applications, and in particular focus on the numerical sampling techniques used to simulate lattice knots. These include the use of BFACF moves implemented in Metropolis style MC algorithms, or implemented in dynamic growth algorithms such as GAS to approximately enumerate lattice knots. I will discuss some long standing open problems in this model, and also present some results about the physical properties of lattice knots in confined spaces.
Extent	26.0 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: York University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-09-22
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0380933
URI	http://hdl.handle.net/2429/71716
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

Open Collections

BIRS Workshop Lecture Videos

Thoughts on lattice knot statistics Janse van Rensburg, Esaias J.

Description

Item Metadata

Item Media

Item Citations and Data

Rights