Blömker, DHairer, MartinPavliotis, GA2024-09-172024-09-172024-09-112005-09-0110.1007/s00220-005-1368-8https://infoscience.epfl.ch/handle/20.500.14299/241166WOS:000230356500011We consider the stochastic Swift-Hohenberg equation on a large domain near its change of stability. We show that, under the appropriate scaling, its solutions can be approximated by a periodic wave, which is modulated by the solutions to a stochastic Ginzburg-Landau equation. We then proceed to show that this approximation also extends to the invariant measures of these equations.enVALIDITYScience & TechnologyPhysical Sciencestext::journal::journal article