72 citations · 105 across the 22 of their papers we have counts for
5 papers · 1 filter
Supersymmetry and Representation Theory in Low Dimensions
Mathew Calkins, S. James Gates, Caroline Klivans
Beginning from a discussion of the known most fundamental dynamical structures of the Standard Model of physics, extended into the realms of mathematics and theory by the concept o…
Clustering with Semidefinite Programming and Fixed Point Iteration
Pedro Felzenszwalb, Caroline Klivans, Alice Paul
We introduce a novel method for clustering using a semidefinite programming (SDP) relaxation of the Max k-Cut problem. The approach is based on a new methodology for rounding the s…
Iterated Linear Optimization
Pedro Felzenszwalb, Caroline Klivans, Alice Paul
We introduce a fixed point iteration process built on optimization of a linear function over a compact domain. We prove the process always converges to a fixed point and explore th…
Domino tilings and flips in dimensions 4 and higher
Caroline Klivans, Nicolau C. Saldanha
In this paper we consider domino tilings of bounded regions in dimension . We define the twist of such a tiling, an elements of , and prove it is invari…
Confluence in Labeled Chip-Firing
Caroline Klivans, Patrick Liscio
In 2016, Hopkins, McConville, and Propp proved that labeled chip-firing on a line always leaves the chips in sorted order if the number of chips is even. We present a novel proof o…