I will discuss a class of interacting particle systems in continuous space. Such models are known to "homogenize", in the sense that the behavior of the cloud of particles is approximately described by a partial differential equation over large scales. In the talk, I will describe a first step towards making this result quantitative. The approach is inspired by recent developments in the homogenization of elliptic equations with random coefficients. Joint work with Arianna Giunti and Chenlin Gu.
I am currently a research scientist at ENS Lyon, France.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai