BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Knotting statistics for polygons in lattice tubes Beaton, Nicholas


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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