28 citations · 187 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
Computing the conformal barycenter
Jason Cantarella, Henrik Schumacher
The conformal barycenter of a point cloud on the sphere at infinity of the Poincaré ball model of hyperbolic space is a hyperbolic analogue of the geometric median of a point cloud…
Radius of Gyration, Contraction Factors, and Subdivisions of Topological Polymers
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler +1
We consider the topologically constrained random walk model for topological polymers. In this model, the polymer forms an arbitrary graph whose edges are selected from an appropria…
Factoring the Laplacian to understand topological polymers
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler +1
A ring polymer is a random walk whose steps obey a single linear condition; their sum vanishes. Factoring the graph Laplacian into the product of the incidence matrix and its trans…