Open AccessThis article is
- freely available
Symmetry 2009, 1(1), 55-63; doi:10.3390/sym1010055
A Stochastic Poisson Structure
Received: 2 July 2009; in revised form: 26 July 2009 / Accepted: 12 August 2009 / Published: 20 August 2009
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: We define a Poisson structure on the Nualart-Pardoux test algebra associated to the path space of a finite dimensional Lie algebra.
Keywords: Poisson structure; Malliavin Calculus