Malliavin Calculus: The Stochastic Calculus of Variations

A clear tour of Malliavin calculus—the probabilistic extension of the calculus of variations that lets you differentiate and integrate with respect to randomness. We'll unpack the Malliavin derivative, the Clark–Ocone formula, and the Skorokhod integral, explain why this stochastic calculus of variations matters beyond Ito calculus, and highlight its key applications in mathematical finance and stochastic filtering.

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