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cond-mat.stat-mech2011★ 17 cited
Minimal knotted polygons in cubic lattices
E. J. Janse van Rensburg, A. Rechnitzer
An implementation of BFACF-style algorithms on knotted polygons in the simple cubic, face centered cubic and body centered cubic lattice is used to estimate the statistics and writ…
cond-mat.stat-mech2011★ 23 cited
On the universality of knot probability ratios
E. J. Janse van Rensburg, A. Rechnitzer
Let denote the number of self-avoiding polygons of length on a regular three-dimensional lattice, and let be the number which have knot type . The probability…