Speaker: 蒲飞（北师大）
Title: Spatial decorrelation of KPZ from narrow wedge
Inviter: 随机分析研究中心
Time & Venue: 2025 年9月12日15:00–16:00 南楼613
Abstract: In this talk, I will present the spatial decorrelation of the solution to the KPZ equation with narrow wedge initial data. For fixed $t>0$, we determine the decay rate of the spatial covariance function, showing that $\Cov[h(t,x),h(t,0)]\sim \frac{t}{x}$ as $x\to\infty$. In addition, we prove that the finite-dimensional distributions of the properly rescaled spatial average of the height function converge to those of a Brownian motion. This is based on a joint work with Yu Gu.
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