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journal article
DISCRETISATIONS OF ROUGH STOCHASTIC PDES
May 1, 2018
We develop a general framework for spatial discretisations of parabolic stochastic PDEs whose solutions are provided in the framework of the theory of regularity structures and which are functions in time. As an application, we show that the dynamical Phi(4)(3) model on the dyadic grid converges after renormalisation to its continuous counterpart. This result in particular implies that, as expected, the Phi(4)(3) measure with a sufficiently small coupling constant is invariant for this equation and that the lifetime of its solutions is almost surely infinite for almost every initial condition.
Type
journal article
Web of Science ID
WOS:000430923200010
Authors
Publication date
2018-05-01
Publisher
Published in
Volume
46
Issue
3
Start page
1651
End page
1709
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 17, 2024
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