Under parabolic rescaling, a damped stochastic wave map into S2 converges to the deterministic harmonic map heat flow, and the rescaled fluctuations converge to a linear stochastic PDE.
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Parabolic scaling of a stochastic wave map with co-normal noise: limit and fluctuations
Under parabolic rescaling, a damped stochastic wave map into S2 converges to the deterministic harmonic map heat flow, and the rescaled fluctuations converge to a linear stochastic PDE.