A class of growth models rescaling to KPZ
File(s)class_of_growth_models_rescaling_to_kpz.pdf (1.04 MB)
Published version
Author(s)
Hairer, Martin
Quastel, Jeremy
Type
Journal Article
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.
Date Issued
2018-11-19
Date Acceptance
2018-05-24
Citation
Forum of Mathematics, Pi, 2018, 6
ISSN
2050-5086
Publisher
Cambridge University Press (CUP)
Journal / Book Title
Forum of Mathematics, Pi
Volume
6
Copyright Statement
© 2018 The Author(s). This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Sponsor
The Leverhulme Trust
Commission of the European Communities
Identifier
http://arxiv.org/abs/1512.07845v1
Grant Number
RL-2012-020-Transfer In
615897
Subjects
math-ph
math-ph
math.AP
math.MP
math.PR
Notes
105 pages
Publication Status
Published
Article Number
e3
Date Publish Online
2018-11-19