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An averaging result is proved for stochastic evolution equations with highlyoscillating coefficients. This result applies in particular to equations withalmost periodic coefficients. The convergence to the solution of the averagedequation is obtained in distribution, as in previous works by Khasminskii andVrko{\v c}.This version corrects two minor errors from our paper published inJ. Math. Anal. Appl. 427(1):336--364, 2015.

Weak Averaging of Semilinear Stochastic Differential Equations with Almost Periodic Coefficients