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KPZ equation from a class of nonlinear SPDEs in infinite volume
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KPZ equation from a class of nonlinear SPDEs in infinite volume
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We study a general class of nonlinear Ginzburg-Landau SPDEs in infinite volume under weak nonlinearity scaling and with non-equilibrium initial data. We derive the KPZ equation as a continuum limit of these equations. This makes rigorous the original derivation of the KPZ equation from physics in the full-space setting, which was a problem posed by Hairer-Quastel '18. Our analysis is based on a stochastic heat kernel for a linearization of said SPDEs.
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Cited by 1 Pith paper
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