- Yuming (Paul) Zhang
- Auburn University
- Date: Mar. 20, Wednesday, 2024
- Time: 10:00am -- 10:50am
- Host: Paul Zhang
- Room: Parker 328
- Abstract: Homogenization is a general phenomenon observed in physical processes occurring within periodic or random environments, wherein the long-term dynamics exhibit homogeneity due to large-scale averaging of environmental variations. In this presentation, I will discuss stochastic homogenization for reaction-diffusion equations in multiple spatial dimensions. To address environments that may not satisfy the finite distance dependence condition (roughly speaking, non-i.i.d environment), we have developed a novel Azuma's inequality. Additionally, our discussion will encompass various types of reaction functions. This talk is based on past and ongoing joint works with Andrej Zlatoš.