Introduction Results: Longtime behavior of large finite systems Results: Renormalization analysis and corresponding basic limiting dynamics Results: Application of renormalization to large scale behavior Preparation: Key technical tools Finite system scheme (Proof of Theorems 1,…
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…
