2 Ergebnisse.

This book provides a compact introduction to the theory of measure-valued branching processes, immigration processes and Ornstein¿Uhlenbeck type processes. Measure-valued branching processes arise as high density limits of branching particle systems. The first part of the book gives an analytic construction of a special class of such processes, the Dawson¿Watanabe superprocesses, which includes the finite-dimensional continuous-state branching...

Measure-valued branching processes arise as high density limits of branching particle systems. The Dawson-Watanabe superprocess is a special class of those. The author constructs superprocesses with Borel right underlying motions and general branching mechanisms and shows the existence of their Borel right realizations. He then uses transformations to derive the existence and regularity of several different forms of the superprocesses. This tr...