Display Abstract

Title Pattern formation under nonlocal social interaction

Name David Uminsky
Country USA
Email duminsky@math.ucla.edu
Co-Author(s) James H. von Brecht, Theodore Kolokolnikov, Andrea Bertozzi
Submit Time 2012-03-08 16:02:18
Session
Special Session 3: Mathematics of Social Systems
Contents
Pairwise particle interactions arise in diverse biological systems ranging from insect swarms and flocking, to self-assembly of nanoparticles. Under the influence of a long-range attraction and short-range repulsion social interaction kernel particle systems may exhibit rich patterns in there bound states. In this talk we present a theory to classify the morphology of various patterns in N dimensions from a given social intereaction force. We also present a method to solve the inverse problem: Given an observed pattern, can we construct a social interaction potential which exhibits that pattern.