1 citations · 2 across the 3 of their papers we have counts for
4 papers
Random graph embeddings with general edge potentials
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler +1
In this paper, we study random embeddings of polymer networks distributed according to any potential energy which can be expressed in terms of distances between pairs of monomers.…
Square-like quadrilaterals inscribed in embedded space curves
Jason Cantarella, Elizabeth Denne, John McCleary
The square-peg problem asks if every Jordan curve in the plane has four points which are the vertices of a square. The problem is open for continuous Jordan curves, but it has been…
Performance of the Uniform Closure Method for open knotting as a Bayes-type classifier
Emily Tibor, Elizabeth M. Annoni, Erin Brine-Doyle +5
The discovery of knotting in proteins and other macromolecular chains has motivated researchers to more carefully consider how to identify and classify knots in open arcs. Most def…
Open and closed random walks with fixed edgelengths in
Jason Cantarella, Kyle Chapman, Philipp Reiter +1
In this paper, we consider fixed edgelength -step random walks in . We give an explicit construction for the closest closed equilateral random walk to almost any o…