Erin BeckmanUtah State University
Cooperative motion in one dimension
Monday, February 6, 2023 - 3:45pm
Abstract: I will discuss a relationship between recursive distributional equations and convergence results for finite difference schemes of PDEs. We will focus on a family of random processes called cooperative motions, which generalize the simple random walk and the hipster random walk introduced in Addario-Berry et. al. in 2020. Our main theorem is a distributional convergence result for cooperative motion in one dimension. I will highlight some of the novel techniques involved, which rely on connecting these processes to various PDEs, including the parabolic p-Laplace equation and nonlinear Hamilton-Jacobi equations. This talk is based on joint work with Louigi Addario-Berry, Gavin Barill, and Jessica Lin.