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arxiv: math/0603224 · v1 · submitted 2006-03-09 · 🧮 math.PR

Elements of Stochastic Calculus via Regularisation

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keywords calculusdirichletprocessesstochasticconstructselementsfinitefirst
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This paper first summarizes the foundations of stochastic calculus via regularization and constructs through this procedure It\^o 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.

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