29
IRUS TotalDownloads
Altmetric
A class of growth models rescaling to KPZ
| File | Description | Size | Format | |
|---|---|---|---|---|
 class_of_growth_models_rescaling_to_kpz.pdf | Published version | 1.06 MB | Adobe PDF | View/Open |
| Title: | A class of growth models rescaling to KPZ |
| Authors: | Hairer, M Quastel, J |
| Item 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. |
| Issue Date: | 19-Nov-2018 |
| Date of Acceptance: | 24-May-2018 |
| URI: | http://hdl.handle.net/10044/1/64264 |
| DOI: | 10.1017/fmp.2018.2 |
| 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/Funder: | The Leverhulme Trust Commission of the European Communities |
| Funder's Grant Number: | RL-2012-020-Transfer In 615897 |
| Keywords: | Science & Technology Physical Sciences Mathematics, Applied Mathematics RENORMALIZATION HOMOGENIZATION EQUATIONS THEOREM LIMIT math-ph math-ph math.AP math.MP math.PR math-ph math-ph math.AP math.MP math.PR |
| Notes: | 105 pages |
| Publication Status: | Published |
| Article Number: | e3 |
| Online Publication Date: | 2018-11-19 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |