%0 Journal Article
%T Central limit theorem for the modulus of continuity of the Brownian local time in $L^3(\mathbb{R})$
%A Yaozhong Hu
%A David Nualart
%J Mathematics
%D 2009
%I arXiv
%X The purpose of this note is to prove a central limit theorem for the $L^3$-modulus of continuity of the Brownian local time using techniques of stochastic analysis. The main ingredients of the proof are an asymptotic version of Knight's theorem and the Clark-Ocone formula for the $L^3$-modulus of the Brownian local time.
%U http://arxiv.org/abs/0912.2400v1