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math.GT2009★ 45 cited
The linking number and the writhe of uniform random walks and polygons in confined spaces
E. Panagiotou, K. C. Millett, S. Lambropoulou
Random walks and polygons are used to model polymers. In this paper we consider the extension of writhe, self-linking number and linking number to open chains. We then study the av…
math.GT2005
Polygonal knot space near ropelength-minimized knots
Kenneth C. Millett, Michael Piatek, Eric J. Rawdon
For a polygonal knot K, it is shown that a tube of radius R(K), the polygonal thickness radius, is an embedded torus. Given a thick configuration K, perturbations of size r<R(K) de…