Limit theorems for flows of branching processes

Abstract

We construct two kinds of stochastic flows of discrete Galton-Watson branching processes. Some scaling limit theorems for the flows are proved, which lead to local and nonlocal branching superprocesses over the positive half line.

Keywords

Stochastic flow / Galton-Watson branching process / continuousstate branching process / superprocess / nonlocal branching

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Higher Education Press and Springer-Verlag Berlin Heidelberg