then implies
http://ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1000637#article1.body1.sec2.sec1.sec3.p1

In assumption (A3), the end of the second sentence should be "then E(||P||) -> 0 implies E(||x_(noise_free) - x_perturbed||) -> 0."

Note from authors: Note that for a given dynamics, it can be interesting to know more about the trajectory of the perturbed system under small noise. In the particular case of FN oscillators, Tuckwell and Rodriguez have given an explicit description of the trajectory of the perturbed system by analysing the mean, variance and covariance of the system.