It\=o and It\=o-Wentzell chain rule for flows of conditional laws of
continuous semimartingales: an easy approach
It\=o and It\=o-Wentzell chain rule for flows of conditional laws of
continuous semimartingales: an easy approach
We provide a general It\=o\,-Wentzell formula for a random field of maps on the Wasserstein space of probability measures, defined by continuous semimartingales, and evaluated along the flow of conditional distributions of another continuous semimartingale. Our method follows standard arguments of It\=o calculus, and thus bypasses the approximation by empirical …