The Kardar-Parisi-Zhang equation and universality class
type: Item
instance of: scholarly article
zbMATH Open document ID: 1305.60053
DOI: 10.1142/9789814449243_0007
author: J. D. Quastel
published in: XVIIth International Congress on Mathematical Physics
publication date: 2014-11-11T00:00:00Z
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60-02
zbMATH DE Number: 6368503
zbMATH Keywords: KPZ equation
zbMATH Keywords: white noise
zbMATH Keywords: scaling
zbMATH Keywords: discrete model
MaRDI profile type: Publication
OpenAlex ID: W2483944460
title: The Kardar-Parisi-Zhang equation and universality class
review text: This survey paper reports some progress on solving the KPZ (Kardar-Parisi-Zhang) equation. For a class of stochastic KPZ equations, the Hopf-Cole solution is described by rescalings from some discrete models, which include the weakly asymmetric limit of simple exclusion and the intermediate disorder limit of directed polymers in random environments. Concrete results with the main ideas of the proofs are presented.NEWLINENEWLINEFor the entire collection see [Zbl 1279.00048].
reviewed by: Feng-Yu Wang
description: scientific article; zbMATH DE number 6368503