A class of growth models rescaling to KPZ
Mathematical Physics
2015-12-25 v1 Analysis of PDEs
math.MP
Probability
Abstract
We consider a large class of -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
Cite
@article{arxiv.1512.07845,
title = {A class of growth models rescaling to KPZ},
author = {Martin Hairer and Jeremy Quastel},
journal= {arXiv preprint arXiv:1512.07845},
year = {2015}
}
Comments
105 pages