The paper establishes Laplace duality for continuous-state branching processes with Lévy-Khintchine drift-interaction and constructs Fellerian extensions with parameters determining boundary behaviors at 0 and infinity.
Pardoux.Probabilistic models of population evolution, volume 1 ofMathematical Biosciences Institute Lecture Series
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Continuous-state branching processes with L\'evy-Khintchine drift-interaction: Laplace duality and Fellerian extensions
The paper establishes Laplace duality for continuous-state branching processes with Lévy-Khintchine drift-interaction and constructs Fellerian extensions with parameters determining boundary behaviors at 0 and infinity.