3 citations · 4 across the 5 of their papers we have counts for
7 papers
DeGroot Dynamics on Multiplex Networks with Directed and Acyclic Interlayer Connectivities
Mia Zender, Kye Shi, Abigail Hickok +2
In models of opinion dynamics, researchers typically examine how an individual's opinion on one topic is influenced by the opinions of their neighbors in a network. However, people…
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
Sarah Tymochko, Gillian Grindstaff, Abigail Hickok +2
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heterogeneous-severity nuisances in a geo…
Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites
Abigail Hickok, Benjamin Jarman, Michael Johnson +2
It is important to choose the geographical distributions of public resources in a fair and equitable manner. However, it is complicated to quantify the equity of such a distributio…
Analysis of Spatial and Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data
Abigail Hickok, Deanna Needell, Mason A. Porter
We develop a method for analyzing spatial and spatiotemporal anomalies in geospatial data using topological data analysis (TDA). To do this, we use persistent homology (PH), which…
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…
Connecting the Dots: Discovering the "Shape" of Data
Michelle Feng, Abigail Hickok, Yacoub H. Kureh +2
Scientists use a mathematical subject called 'topology' to study the shapes of objects. An important part of topology is counting the numbers of pieces and holes in objects, and pe…