Shankar Bhamidi, University of North Carolina, Chapel Hill
Gerandy Brito, Georgia Institute of Technology
Michael Damron, Georgia Institute of Technology
Rick Durrett, Duke University
Matthew Junge, Duke University
The goal is to better understand the global behavior of random systems driven by local interactions. A variety of geometries (e.g., lattices, trees, and various types of random graphs) and interaction rules (e.g., voting, infection, annihilation, coalescence) will be studied. Our focus will be on three interconnected topics that have witnessed rapid developments in recent years: First passage percolation was introduced more than 50 years ago as a model of the spread of a liquid through a porous medium. There has been much progress, but many open problems remain. Two-type particle systems are motivated by questions from physics and biology. In these systems different types of particles move throughout a medium, and interact when they meet. Processes on random graphs arise naturally when modeling the spread of opinions, fads, and diseases on social networks.
Many important problems are simple to state and can be attacked without an extensive background. Participants will work on new, interesting research questions, and be set on a path to continued collaboration.
The deadline is February 15, 2019.
For questions about the application process, please contact Kim Kuda at the AMS.