Lifetime and compactness of range for super-Brownian motion with a general branching mechanism
| dc.citation.epage | 141 | en_US |
| dc.citation.issue | 1 | en_US |
| dc.citation.spage | 129 | en_US |
| dc.citation.volume | 70 | en_US |
| dc.citation.woscount | 8 | |
| dc.contributor.author | Sheu, YC | en_US |
| dc.contributor.department | 交大名義發表 | zh_TW |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | National Chiao Tung University | en_US |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:01:24Z | |
| dc.date.available | 2014-12-08T15:01:24Z | |
| dc.date.issued | 1997-10-01 | en_US |
| dc.description.abstract | Let X be a super-Brownian motion with a general (time-space) homogeneous branching mechanism. We study a relation between lifetime and compactness of range for X. Under a restricted condition on the branching mechanism, we show that the set X survives is the same as that the range of X is unbounded. (For alpha-branching super-Brownian motion, 1 < alpha less than or equal to 2, similar results were obtained earlier by Iscoe (1988) and Dynkin (1991).) We also give an interesting example in that case X dies out in finite time, but it has an unbounded range. (C) 1997 Elsevier Science B.V. | en_US |
| dc.identifier.issn | 0304-4149 | en_US |
| dc.identifier.journal | STOCHASTIC PROCESSES AND THEIR APPLICATIONS | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/263 | |
| dc.identifier.wosnumber | WOS:A1997YA07400006 | |
| dc.language.iso | en_US | en_US |
| dc.subject | super-Brownian motion | en_US |
| dc.subject | branching mechanism | en_US |
| dc.subject | lifetime | en_US |
| dc.subject | compactness of range | en_US |
| dc.subject | support | en_US |
| dc.title | Lifetime and compactness of range for super-Brownian motion with a general branching mechanism | en_US |
| dc.type | Article | en_US |