137 citations · 479 across the 18 of their papers we have counts for
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math.GT2010★ 23 cited
On the distortion of knots on embedded surfaces
John Pardon
Our main result is a nontrivial lower bound for the distortion of some specific knots. In particular, we show that the distortion of the torus knot satisfies $δ(T_{p,q})>…
math.PR2010★ 18 cited
Central limit theorems for random polygons in an arbitrary convex set
John Pardon
We study the probability distribution of the area and the number of vertices of random polygons in a convex set . The novel aspect of our approach is that it…