2 citations · 5 across the 4 of their papers we have counts for
6 papers
A Constructive Proof of Ky Fan's Generalization of Tucker's Lemma
Timothy Prescott, Francis Edward Su
We present a constructive proof of Ky Fan's combinatorial lemma concerning labellings of triangulated spheres. Our construction works for triangulations of that contain a fla…
Lower bounds for simplicial covers and triangulations of cubes
Adam Bliss, Francis Edward Su
We show that the size of a minimal simplicial cover of a polytope is a lower bound for the size of a minimal triangulation of , including ones with extra vertices. We then u…
Random walks on the torus with several generators
Timothy Prescott, Francis Edward Su
Our paper gives bounds for the rate of convergence for a class of random walks on the d-dimensional torus generated by a set of n vectors in R^d/Z^d. We give bounds on the discrepa…
On choosing and bounding probability metrics
Alison L. Gibbs, Francis Edward Su
When studying convergence of measures, an important issue is the choice of probability metric. In this review, we provide a summary and some new results concerning bounds among ten…
Random walks with badly approximable numbers
Doug Hensley, Francis Edward Su
Using the discrepancy metric, we analyze the rate of convergence of a random walk on the circle generated by d rotations, and establish sharp rates that show that badly approximabl…
Discrepancy convergence for the drunkard's walk on the sphere
Francis Edward Su
We analyze the drunkard's walk on the unit sphere with step size theta and show that the walk converges in order constant/sin^2(theta) steps in the discrepancy metric. This is an a…