Geodesic
A CLASS OF GROWTH MODELS RESCALING TO KPZ
Forum of Mathematics, Pi, Tome 6 (2018)

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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. 
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MARTIN HAIRER; JEREMY QUASTEL. A CLASS OF GROWTH MODELS RESCALING TO KPZ. Forum of Mathematics, Pi, Tome 6 (2018). doi: 10.1017/fmp.2018.2

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