The Axelrod model is a spatial stochastic model for the dynamics of cultures which includes two key social components: homophily, the tendency of individuals to interact more frequently with individuals who are more similar, and social influence, the tendency of individuals to become more similar when they interact. Each individual is characterized by a collection of opinions about different issues, and pairs of neighbors interact at a rate equal to the number of issues for which they agree, which results in the interacting pair agreeing on one more issue. This model has been extensively studied during the past 20 years based on numerical simulations and heuristic arguments while there is a lack of analytical results. This talk gives rigorous fluctuation and fixation results for the one-dimensional system that sometimes confirms and sometimes refutes some of the conjectures formulated by applied scientists.
Stochastic Modeling for Math Bio with Dr. Nicolas Lanchier
Friday April 1
1:30pm-2:30pm
WXLR A307
If you have ever wanted to learn more about stochastic modeling or how stochastic modeling could be used in applied problem join us Friday 4/1 as Dr. Nicolas Lanchier presents: Consensus and discordance in the Axelrod model for the dynamics of cultures.
This will be a great opportunity to see stochastic modeling applied and inspire you to learn more about stochastic modeling or integrate stochastic modeling techniques into your own research.
Nicolas Lanchier
Professor
SoMSS / ASU