%0 Journal Article
%T Stratonovich's Signatures of Brownian Motion Determine Brownian Sample Paths
%A Yves LeJan
%A Zhongmin Qian
%J Mathematics
%D 2011
%I arXiv
%X The signature of Brownian motion in $\mathbb{R}^{d}$ over a running time interval $[0,T]$ is the collection of all iterated Stratonovich path integrals along the Brownian motion. We show that, in dimension $d\geq 2$, almost all Brownian motion sample paths (running up to time $T$) are determined by its signature over $[0,T]$
%U http://arxiv.org/abs/1102.3601v1