1 Correction to: Journal of Statistical Physics (2020) 179:729–747 https://doi.org/10.1007/s10955-020-02553-9

In Eqs. (8) and (B10) exponential \(e^{iky_{1}}\) should be deleted, only the last one should remain as \(e^{-iky_{n}}\). This typo mistake does not modify any result in the paper.

In Eq. (C1) the exponential should be \(e^{-iky_{p}}\). This typo mistake does not modify any result in the paper.

After Eq. (B5) exponential should change sing, that is \(e^{-ikx}\). This typo mistake does not modify any result in the paper.

In Eqs. (22) and (B14) exponential should change sing, that is \( e^{-iky_{1}}\). This typo mistake does not modify any result in the paper.

In Eq. (28) the expression for \(\mathcal {D}_{E}\left( k,s\right) \) has an exponent \(-1\) which should be deleted. This typo mistake does not modify any result in the paper.

In Sects. 2.1 and 3 the expression exact result should be quoted: dominant result. This is so because the n-fold integral (8) is not space ordered, thus there are contributions from overlapping domains. The proof that these domains can be discarded will be given elsewhere. This fact does not modify any result concerning EMA, which remain entirely true.