Space-time discrete KPZ equation
File(s)10.1007%2Fs00220-018-3089-9.pdf (1.03 MB)
Published version
Author(s)
Cannizzaro, G
Matetski, K
Type
Journal Article
Abstract
We study a general family of space–time discretizations of the KPZ equation and show that they converge to its solution. The approach we follow makes use of basic elements of the theory of regularity structures (Hairer in Invent Math 198(2):269–504, 2014) as well as its discrete counterpart (Hairer and Matetski in Discretizations of rough stochastic PDEs, 2015. arXiv:1511.06937). Since the discretization is in both space and time and we allow non-standard discretization for the product, the methods mentioned above have to be suitably modified in order to accommodate the structure of the models under study.
Date Issued
2018-02-03
Date Acceptance
2017-12-05
Citation
Communications in Mathematical Physics, 2018, 358 (2), pp.521-588
ISSN
0010-3616
Publisher
Springer Verlag
Start Page
521
End Page
588
Journal / Book Title
Communications in Mathematical Physics
Volume
358
Issue
2
Copyright Statement
© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000427467400002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
STOCHASTIC BURGERS-EQUATION
DIFFERENTIAL-EQUATIONS
REGULARITY STRUCTURES
EXCLUSION PROCESSES
PARTICLE-SYSTEMS
LIMIT
Publication Status
Published