MRC Week 2, June 9-15, 2019

Stochastic Spatial Models

Organizers:

Gerandy Brito, Georgia Institute of Technology
Michael Damron, Georgia Institute of Technology
Rick Durrett, Duke University
Matthew Junge, Duke University
David J. Sivakoff, The Ohio State University

The goal was 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) was studied. Our focus was 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 worked on new, interesting research questions, and were set on a path to continued collaboration.

The deadline for applications has passed.

For questions about the application process, please contact Kim Kuda at the AMS.

Here is a list of individuals who participated in this conference:

Pooja Agarwal
Sungwon Ahn
Erin M Beckman
Swee Hong Chan
Keisha Cook
Souvik Dhara
Nicole Eikmeier
Laura C Eslava Fernandez
Ujan Gangopadhyay
Ankan Ganguly
Shirshendu Ganguly
Dan Han
Jonathan Hermon
Alma Sarai Hernandez Torres
Xiangying Huang
Christopher Janjigian
Tobias Johnson
George Kerchev
Katelynn D. Kochalski
Yacoub H Kureh
Wai-Kit Lam
Shuangping Li
Hanbaek Lyu
Marcus Michelen
Danny Nam
Christian Noack
Samantha Petti
Jacob Richey
Ramchandra RR Rimal
Joshua Rosenberg
Subhabrata Sen
Xiao Shen
Mackenzie Simper
Pengfei Tang
Si Tang
Lily Wang
Matthew W Wascher
Dong Yao
Lingfu Zhang
Yizhe Zhu