Super-Brownian motion with reflecting historical paths. II: Convergence of approximations
| dc.contributor.author | Burdzy, Krzysztof | |
| dc.contributor.author | Mytnik, Leonid | |
| dc.date.accessioned | 2005-11-30T18:25:47Z | |
| dc.date.available | 2005-11-30T18:25:47Z | |
| dc.date.issued | 2005-10 | |
| dc.description.abstract | We 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. | en |
| dc.description.sponsorship | Supported in part by NSF Grant DMS-0071486, Israel Science Foundation Grants 12/98 and 116/01 - 10.0, and the U.S.-Israel Binational Science Foundation (grant No. 2000065) | en |
| dc.format.extent | 292749 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Burdzy, K. & L. Mytnik. (2005). Super-Brownian motion with reflecting historical paths. II: Convergence of approximations. Probability Theory and Related Fields, 133(2), 145-174. | en |
| dc.identifier.uri | http://hdl.handle.net/1773/2225 | |
| dc.language.iso | en_US | |
| dc.publisher | Springer-Verlag GmbH | en |
| dc.subject | Super-Brownian motion | en |
| dc.subject | reflecting paths | en |
| dc.subject | Brownian snake | en |
| dc.subject | martingale problem | en |
| dc.title | Super-Brownian motion with reflecting historical paths. II: Convergence of approximations | en |
| dc.title.alternative | Super-Brownian motion with reflection | en |
| dc.type | Article | en |