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Space–time discrete KPZ equation
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Cannizzaro, G. and Matetski, K. (2018) Space–time discrete KPZ equation. Communications in Mathematical Physics, 358 (2). pp. 521-588. doi:10.1007/s00220-018-3089-9 ISSN 0010-3616.
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Official URL: http://dx.doi.org/10.1007/s00220-018-3089-9
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.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||||||
Publisher: | Springer | ||||||||
ISSN: | 0010-3616 | ||||||||
Official Date: | March 2018 | ||||||||
Dates: |
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Volume: | 358 | ||||||||
Number: | 2 | ||||||||
Page Range: | pp. 521-588 | ||||||||
DOI: | 10.1007/s00220-018-3089-9 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Open Access (Creative Commons) |
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