Bass, Richard F.; Perkins, Edwin A. On the martingale problem for super-Brownian motion. (English) Zbl 1002.60079 Azéma, Jacques (ed.) et al., Séminaire de Probabilités XXXV. Berlin: Springer. Lect. Notes Math. 1755, 195-201 (2001). A short and elementary proof is given for the uniqueness of the martingale problem of super-Brownian motion. Basic ingredients in the proof are the approximation of super-Brownian motion with branching particle systems and certain (uniform) continuity properties of the log-Laplace functionals of the approximating branching particle systems and of super-Brownian motion.For the entire collection see [Zbl 0960.00020]. Reviewer: A.Schied (Berlin) Cited in 1 Document MSC: 60J80 Branching processes (Galton-Watson, birth-and-death, etc.) 60G44 Martingales with continuous parameter 60J60 Diffusion processes Keywords:super-Brownian motion; martingale problem; branching particle system PDFBibTeX XMLCite \textit{R. F. Bass} and \textit{E. A. Perkins}, Lect. Notes Math. 1755, 195--201 (2001; Zbl 1002.60079) Full Text: Numdam EuDML