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Stochastic Algebraic de Rham Complexes |
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| Authors: | Rémi Léandre |
| Institution: | (1) Institut Elie Cartan, Département de Mathématiques, Université de Nancy I, 54500 Vandoeuvre-les-Nancy, France;(2) Faculdad de Matematica, Universidad Catolica de Chile, Casilla 306, Santiago 22, Chile |
| Abstract: | We define completion of the algebraic de Rham complex associated to the algebras of functionals smooth in the Chen–Souriau sense or in the Nualart–Pardoux sense over the loop space. We show that the stochastic algebraic de Rham cohomology groups are equal to the deterministic cohomology groups of the loop space. |
| Keywords: | algebraic de Rham complex Malliavin calculus stochastic Chen– Souriau calculus |
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