Talk:Lévy's modulus of continuity theorem

In other words part

I doubt that from the first statement it exactly follows that

$\omega _{B}(\delta )={\sqrt {2\delta \log(1/\delta )}}$

with probability one, and for sufficiently small $\delta >0$.

I guess equality should be replaced by asymptotic equivalence. I have not checked this yet. Matumba (talk) 13:27, 27 December 2008 (UTC)