BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Trials and tribulations of preserving topology Rechnitzer, Andrew


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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