Back to Departmental Colloquium: Spring 2017
Departmental Colloquium
Date: Thursday, Mar 23, 2017
Time: 4:00PM
Location: JWB 335
Peter Mucha
University of North Carolina at Chapel Hill
Title |
Modeling dynamics in networks: coevolving voter models |
Abstract |
We consider idealized network dynamics of individuals changing their opinions and connections in a coevolving process driving towards consensus. Discordant edges connecting disagreeing nodes are resolved either through one individual changing opinion to match the other or through a rewiring process, the details of which can lead to dramatically different results. We compare and contrast results for two opinions with two different rewiring systems: a “rewire-to-same” rule where individuals form new connections only with others who already hold the same opinion, and a “rewire-to-random” rule where no constraints are made in the rewiring. We investigate this latter system in the presence of more than two opinions. We also consider modifications that reinforce local clustering in the rewiring. Throughout this work, we identify and test model systems of differential equations for describing the system states. This talk represents joint work with Feng Shi, Nishant Malik, Hsuan-Wei Lee, Rick Durrett, James Gleeson, Alun Lloyd, David Sivakoff, Josh Socolar and Chris Varghese. |
Differential Equations
Data Science and Machine Learning