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journal article
A CENTRAL LIMIT THEOREM FOR THE KPZ EQUATION
November 1, 2017
We consider the KPZ equation in one space dimension driven by a stationary centred space-time random field, which is sufficiently integrable and mixing, but not necessarily Gaussian. We show that, in the weakly asymmetric regime, the solution to this equation considered at a suitable large scale and in a suitable reference frame converges to the Hopf-Cole solution to the KPZ equation driven by space-time Gaussian white noise. While the limiting process depends only on the integrated variance of the driving field, the diverging constants appearing in the definition of the reference frame also depend on higher order moments.
Type
journal article
Web of Science ID
WOS:000419140000001
Authors
Publication date
2017-11-01
Publisher
Published in
Volume
45
Issue
6B
Start page
4167
End page
4221
Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
Available on Infoscience
September 17, 2024
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