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Trials and tribulations of preserving topology Rechnitzer, Andrew
Description
Monte Carlo simulations are a big part of understanding the statistical properties of knots. Unfortunately, if one wishes to study curves of fixed knot types then there are very few methods available. This work, with Nick Beaton and Nathan Clisby, is an attempt to adapt existing algorithms to polygons in R3 of fixed topology. It is very much a work in progress, but I will report on our work adapting BFACF to polygons in R3, and also our attempts at trying to coerce the (very fast) pivot algorithm to respect topology.
Item Metadata
Title |
Trials and tribulations of preserving topology
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2021-06-18T10:15
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Description |
Monte Carlo simulations are a big part of understanding the statistical properties of knots. Unfortunately, if one wishes to study curves of fixed knot types then there are very few methods available. This work, with Nick Beaton and Nathan Clisby, is an attempt to adapt existing algorithms to polygons in R3 of fixed topology. It is very much a work in progress, but I will report on our work adapting BFACF to polygons in R3, and also our attempts at trying to coerce the (very fast) pivot algorithm to respect topology.
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Extent |
30.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of British Columbia
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Series | |
Date Available |
2023-10-27
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0437373
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International