16 citations · 16 across the 2 of their papers we have counts for
6 papers
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…
Knots with Exactly 10 Sticks
Ryan Blair, Thomas D. Eddy, Nathaniel Morrison +1
We prove that the knots and both have stick number 10. These are the first non-torus prime knots with more than 9 crossings for which the exact stick num…
Stiefel manifolds and polygons
Clayton Shonkwiler
Polygons are compound geometric objects, but when trying to understand the expected behavior of a large collection of random polygons -- or even to formalize what a random polygon…
A fractal dimension for measures via persistent homology
Henry Adams, Manuchehr Aminian, Elin Farnell +6
We use persistent homology in order to define a family of fractal dimensions, denoted for each homological dimension , assigned to a proba…
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…
Poincare duality angles for Riemannian manifolds with boundary
Clayton Shonkwiler
On a compact Riemannian manifold with boundary, the absolute and relative cohomology groups appear as certain subspaces of harmonic forms. DeTurck and Gluck showed that these concr…