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Symmetry 2009, 1(1), 55-63; doi:10.3390/sym1010055
Article

A Stochastic Poisson Structure

Institut de Mathématiques, Université de Bourgogne, 21000 Dijon, France
Received: 2 July 2009 / Revised: 26 July 2009 / Accepted: 12 August 2009 / Published: 20 August 2009
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
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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 Poisson structure; Malliavin Calculus
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.

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Léandre, R. A Stochastic Poisson Structure. Symmetry 2009, 1, 55-63.

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