1 Erratum to: Probab. Theory Relat. FieldsDOI 10.1007/s00440-014-0547-y

The author would like to correct the errors in the publication of the original article. The corrected details are given below for your reading.

In the last line of the abstract, “Weinan and Vanden-Eijnden” should be “E and Vanden-Eijnden”.

In the third line of the last paragraph of the second page of the paper, “Weinan and Vanden-Eijnden” should be “E and Vanden-Eijnden”.

In the first sentence of Section 1.6, “Weinan and Vanden-Eijnden” should be “E and Vanden-Eijnden”.

In both references 15 and 16 of the paper, “Weinan, E.” should be changed to “E, W.”.