Séminaire de Probabilités commun ICJ/UMPA

Quantitative homogenization and hydrodynamic limit of non-gradient exclusion process

by Chenlin Gu

435 (ENS de Lyon)


ENS de Lyon


This talk presents a quantitative homogenization for non-gradient exclusion process. The main strategy roots from the quantitative homogenization theory developed by Armstrong, Kuusi, Mourrat and Smart, and was already implemented in the previous work by Giunti-Gu-Mourrat' 22 in an interacting particle system without exclusion. The new challenges here come from the hard core constraint of the particle number and the curse of dimension, and I will explain how to overcome them by a new coarse-grained strategy.  As an application, our result can be integrated into the classical work Funaki-Uchiyama-Yau' 96 and yield a quantitative hydrodynamic limit. This talk is based on a joint work with Tadahisa Funaki (BIMSA) and Han Wang (Qiuzhen College, Tsinghua University).