Limiting Behavior for a Random Rock-Paper-Scissor Game (Morin)
The talk will describe a generalization of Polya's Urn involving Rock-Paper-Scissor rules of competition. Simulation strongly suggests a limiting distribution of a multi-dimensional Dirac distribution centered at (1/3,1/3,1/3). A martingale approach supports the observed simulation behavior. A functional, Stein-like approach is suggested and a condition related to distribution classification is posed. Potential applications to E. coli bacteria and the male side-blotched lizard are presented along side an urn that would more appropriately model these systems are given as avenues for further work.
Efficient methods for sensitivity analysis (Kennedy)
Understanding the sensitivity of a model or computational method to perturbations in the parameters is relevant for control of the system and for verifying correctness of the method. We present methods for the efficient computation of sensitivity to parameters in coupled systems of partial differential equations.