A CLASS OF GROWTH MODELS RESCALING TO KPZ

Abstract

We consider a large class of $1+1$-dimensional continuous interface growth models and we show that, in both the weakly asymmetric and the intermediate disorder regimes, these models converge to Hopf–Cole solutions to the KPZ equation.

Keywords

• 60H15 (primary)
• 35R60
• 82C28 (secondary)