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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…
This work is concerned with the application of the theory of stochastic processes, of potential theory and of convex analysis to the optimal control of diffusions. Very general results of existence are proved for diffusions killed on a Borel set, for "dying" diffusions, for unid…