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.
Pippenger, Knots in random walks, Discrete Applied Mathematics25, 273 (1989)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cond-mat.stat-mech 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
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.