%0 Journal Article %T On an Inversion Theorem for Stratonovich's Signatures of Multidimensional Diffusion Paths %A Xi Geng %A Zhongmin Qian %J Mathematics %D 2013 %I arXiv %X In the present paper, we prove that with probability one, the Stratonovich signatures of a multidimensional diffusion process (possibly degenerate) over [0,1], which is the collection of all iterated Stratonovich's integrals of the diffusion process over [0,1], determine the diffusion sample paths. %U http://arxiv.org/abs/1304.6985v2