Burdzy, KrzysztofMytnik, Leonid2005-11-302005-11-302005-10Burdzy, K. & L. Mytnik. (2005). Super-Brownian motion with reflecting historical paths. II: Convergence of approximations. Probability Theory and Related Fields, 133(2), 145-174.http://hdl.handle.net/1773/2225We prove that the sequence of finite reflecting branching Brownian motion forests defined by Burdzy and Le Gall ([?]) converges in probability to the "super-Brownian motion with reflecting historical paths." This solves an open problem posed in [?], where only tightness was proved for the sequence of approximations. Several results on path behavior were proved in [?] for all subsequential limits—they obviously hold for the unique limit found in the present paper.292749 bytesapplication/pdfen-USSuper-Brownian motionreflecting pathsBrownian snakemartingale problemArticle