A CLASS OF GROWTH MODELS RESCALING TO KPZ

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.

Bibliographic Details
Main Authors: MARTIN HAIRER, JEREMY QUASTEL
Format: Article
Language:English
Published: Cambridge University Press 2018-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508618000021/type/journal_article