4 papers
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…
Disease Detectives: Using Mathematics to Forecast the Spread of Infectious Diseases
Heather Z. Brooks, Unchitta Kanjanasaratool, Yacoub H. Kureh +1
The COVID-19 pandemic has led to significant changes in how people are currently living their lives. To determine how to best reduce the effects of the pandemic and start reopening…
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…
Fitting In and Breaking Up: A Nonlinear Version of Coevolving Voter Models
Yacoub H. Kureh, Mason A. Porter
We investigate a nonlinear version of coevolving voter models, in which node states and network structure update as a coupled stochastic dynamical process. Most prior work on coevo…