The complete characterization of a general class of superprocesses

• Published in: Probability theory and related fields Vol. 116; no. 3; pp. 317 - 358
• Main Author: Leduc, Guillaume
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer 01.03.2000; Berlin Springer Nature B.V; New York, NY
• Subjects: Exact sciences and technology; Existence theorems; Markov processes; Mathematics; Probability; Probability and statistics; Probability theory and stochastic processes; Sciences and techniques of general use; Uniform convergence; Markov process; Feynman rule; Existence condition; Stopping time; Existence theorem; Branching measure valued process; Metric space; Luzin metric space; Evolution equation; Semigroup; Log Laplace functional; Characterization; Weak convergence; Branching process; Hunt process

In an important paper, [7], Dynkin, Kuznetsov and Skorohod showed that, under mild conditions, the log-Laplace functional of every branching measure-valued process is the solution of an evolution equation determined by three parameters, ξQ and ℓ. This paper essentially deals with the converse of thi...