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.AP2020
Anisotropic Surface Tensions for Phase Transitions in Periodic Media
Rustum Choksi, Irene Fonseca, Jessica Lin +1
This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homoge…