3 papers
math.PR2022
Symmetric cooperative motion in one dimension
Louigi Addario-Berry, Erin Beckman, Jessica Lin
We explore the relationship between recursive distributional equations and convergence results for finite difference schemes of parabolic partial differential equations (PDEs). We…
math.PR2021
Asymmetric cooperative motion in one dimension
Louigi Addario-Berry, Erin Beckman, Jessica Lin
We prove distributional convergence for a family of random processes on , which we call asymmetric cooperative motions. The model generalizes the "totally asymmetric hi…
math.PR2018
The frog model on trees with drift
Erin Beckman, Natalie Frank, Yufeng Jiang +2
We provide a uniform upper bound on the minimal drift so that the one-per-site frog model on a -ary tree is recurrent. To do this, we introduce a subprocess that couples across…