Bell, Gregory

UNCG

There are 3 item/s.

TitleDateViewsBrief Description
Asymptotic dimension and asymptotic property 2011 926 This thesis will be concerned with the study of some ``large-scale'' properties of metric spaces. This area evolved from the study of geometric group theory. Chapter 1 lays out some of the fundamental notions of geometric g...
On characterizing pairs of permutations in determining their generated group 2013 975 Among the unsolved problems in mathematics listed on Wolfram Mathworld's website is finding a formula for the probability that two permutations chosen at random generate the symmetric group. We show that two permutations of order two cannot generate ...
Multi-scale persistent homology 2016 13 Data has shape and that shape is important. This is the anthem of Topological Data Analysis (TDA) as often stated by Gunnar Carlsson. In this paper we take a common method of persistence involving the growing of balls of the same size, and generalizi...