28 citations · 187 across the 25 of their papers we have counts for
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math.GT2015★ 15 cited
Knot Probabilities in Random Diagrams
Jason Cantarella, Harrison Chapman, Matt Mastin
We consider a natural model of random knotting- choose a knot diagram at random from the finite set of diagrams with n crossings. We tabulate diagrams with 10 and fewer crossings a…
cond-mat.stat-mech2015★ 15 cited
A Fast Direct Sampling Algorithm for Equilateral Closed Polygons
Jason Cantarella, Bertrand Duplantier, Clayton Shonkwiler +1
Sampling equilateral closed polygons is of interest in the statistical study of ring polymers. Over the past 30 years, previous authors have proposed a variety of simple Markov cha…