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A class of growth models rescaling to KPZ
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Hairer, Martin and Quastel, Jeremy (2018) A class of growth models rescaling to KPZ. Forum of Mathematics, Pi, 6 . e3. doi:10.1017/fmp.2018.2 ISSN 2050-5086.
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Official URL: http://dx.doi.org/10.1017/fmp.2018.2
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.
Item Type: | Journal Article | ||||||||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||
Library of Congress Subject Headings (LCSH): | Stochastic analysis, Stochastic partial differential equations, Renormalization group, Hopf algebras | ||||||||||||||||||
Journal or Publication Title: | Forum of Mathematics, Pi | ||||||||||||||||||
Publisher: | Cambridge University Press | ||||||||||||||||||
ISSN: | 2050-5086 | ||||||||||||||||||
Official Date: | 19 November 2018 | ||||||||||||||||||
Dates: |
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Volume: | 6 | ||||||||||||||||||
Article Number: | e3 | ||||||||||||||||||
DOI: | 10.1017/fmp.2018.2 | ||||||||||||||||||
Status: | Peer Reviewed | ||||||||||||||||||
Publication Status: | Published | ||||||||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||||||||
Date of first compliant deposit: | 30 October 2019 | ||||||||||||||||||
Date of first compliant Open Access: | 30 October 2019 | ||||||||||||||||||
RIOXX Funder/Project Grant: |
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