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The book develops stochastic integration with respect to "Brownian trees" and its associated stochastic calculus, with the aim of proving pathwise existence and uniqueness in a stochastic equation driven by a historical Brownian motion. We use these results and a Girsanov-type t…
The historical process is constructed to be a superprocess which is enriched so as to contain information on genealogy. This process together with a representation for the associated Palm measures are used to describe the modulus of continuity and equilibrium structure for a cla…