Xiaoqin Guo, University of Cincinnati
Event Date
2025-10-21
Event Time
03:30 pm ~ 04:30 pm
Event Location
Wachman 617
We consider the convergence rate of a random non-divergence form difference equation on $\mathbb{Z}^d$ to its "effective" differential equation on $\mathbb{R}^d$. We will discuss the optimal convergence rate when the coefficient field has a finite range of dependence. Moreover, when the coefficient field is i.i.d. and exhibits isotropic symmetry, we prove strictly faster convergence, improving the generic finite-range rate. Joint work with Hung V. Tran (Wisconsin) and Timo Sprekler (Texas A&M).