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.

Saved in:
Bibliographic Details
Published inForum of mathematics. Pi Vol. 6
Main Authors HAIRER, MARTIN, QUASTEL, JEREMY
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 2018
Subjects
35R60
60H15 (primary)
82C28 (secondary)
Growth models
Probability
Rescaling
60H15 (primary)
35R60
82C28 (secondary)
Online AccessGet full text
ISSN2050-5086
2050-5086
DOI10.1017/fmp.2018.2

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2050-5086
2050-5086
DOI:10.1017/fmp.2018.2