33 citations · 106 across the 10 of their papers we have counts for
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cond-mat.soft2017★ 4 cited
Scaling behavior of knotted random polygons and self-avoiding polygons: Topological swelling with enhanced exponent
Erica Uehara, Tetsuo Deguchi
We show that the average size of self-avoiding polygons (SAP) with a fixed knot is much larger than that of no topological constraint if the excluded volume is small and the number…
cond-mat.soft2017★ 21 cited
Knotting probability of self-avoiding polygons under a topological constraint
Erica Uehara, Tetsuo Deguchi
We define the knotting probability of a knot by the probability for a random polygon (RP) or self-avoiding polygon (SAP) of segments having the knot type . We show funda…