Stochastic noise yields local well-posedness and high-probability global scattering for the Zakharov system in d >= 4 beyond the energy space.
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The stochastic Zakharov system in dimension $d \geq 4$: Local well-posedness and regularization by noise for scattering
Stochastic noise yields local well-posedness and high-probability global scattering for the Zakharov system in d >= 4 beyond the energy space.