Elements of Stochastic Calculus via Regularisation

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This paper first summarizes the foundations of stochastic calculus via regularization and constructs through this procedure Itô and Stratonovich integrals. In the second part, a survey and new results are presented in relation with finite quadratic variation processes, Dirichlet and weak Dirichlet processes.
39 pages. First version. Preprint LAGA-Paris 13 2004-28. To appear: Séminaire de Probabilités

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