Spatial decorrelation of KPZ from narrow wedge
Abstract
We study 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)] tx as x∞. 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.