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Knotting statistics for polygons in lattice tubes Beaton, Nicholas
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.
Item Metadata
| Title |
Knotting statistics for polygons in lattice tubes
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-03-26T11:38
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| 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.
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| Extent |
31.0 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 Melbourne
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| Series | |
| Date Available |
2019-09-23
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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 |
10.14288/1.0380940
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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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