Off-lattice simulations of self-avoiding polygons up to length 2^27 show that the number of prime knot summands follows a Poisson distribution with characteristic knotting length 656500 ± 2500, supporting knot localization and entropy conjectures.
Clisby, Accurate estimate of the critical exponentν for self-avoiding walks via a fast implementation of the pivot algorithm, Physical Review Letters104, 055702 (2010)
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Random knotting in very long off-lattice self-avoiding polygons
Off-lattice simulations of self-avoiding polygons up to length 2^27 show that the number of prime knot summands follows a Poisson distribution with characteristic knotting length 656500 ± 2500, supporting knot localization and entropy conjectures.