4 papers
Toric surface codes and the periodicity of polytopes
Amelia Gibbs, Eliza Hogan, Kelly Jabbusch +2
Toric codes are error-correcting codes that are derived from toric varieties, which hold a unique correspondence to lattice polytopes. In this paper, we focus on lattice polytopes…
Two Combinatorial Interpretations of Rascal Numbers
Amelia Gibbs, Brian K. Miceli
The main goal of this paper is to assign two combinatorial interpretations to the elements of the Rascal Triangle defined by Angorro et al. The first interpretation involves counti…
Using theory and experiments of spheres moving near boundaries to optimize the method of images for regularized Stokeslets
Hoa Nguyen, Amelia Gibbs, Frank Healy +5
The general system of images for regularized Stokeslets (GSIRS) developed by Cortez and Varela (2015) is used extensively to model Stokes flow phenomena such as microorganisms swim…
A caustic terminating at an inflection point
J. R. Ockendon, H. Ockendon, R. H. Tew +2
We present an asymptotic and numerical study of the evolution of an incoming wavefield which has a caustic close to a curve with an inflection point. Our results reveal the emergen…