36 citations · 49 across the 6 of their papers we have counts for
3 papers · 1 filter
Topological Data Analysis of Spatial Systems
Michelle Feng, Abigail Hickok, Mason A. Porter
In this chapter, we discuss applications of topological data analysis (TDA) to spatial systems. We briefly review the recently proposed level-set construction of filtered simplicia…
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs
Abigail Hickok, Yacoub Kureh, Heather Z. Brooks +2
People's opinions evolve over time as they interact with their friends, family, colleagues, and others. In the study of opinion dynamics on networks, one often encodes interactions…
Spatial Applications of Topological Data Analysis: Cities, Snowflakes, Random Structures, and Spiders Spinning Under the Influence
Michelle Feng, Mason A. Porter
Spatial networks are ubiquitous in social, geographical, physical, and biological applications. To understand the large-scale structure of networks, it is important to develop meth…