| 带移民的非临界分枝相依空间运动超过程 |
| |
| 引用本文： | 李增沪,鲁冠华,汪浩.带移民的非临界分枝相依空间运动超过程[J].数学年刊A辑(中文版),2004(5). |
| |
| 作者姓名： | 李增沪 鲁冠华 汪浩 |
| |
| 作者单位： | 北京师范大学数学系，Department of Mathematics，University of Maryland，College Park，MD 20742，U.S.A.，Department of Mathematics，University of Oregon，Eugene OR 97403-1222，U.S.A. 北京 100875 |
| |
| 基金项目： | 国家自然科学基金(No.10121101,No.10131040)资助的项目. |
| |
| 摘 要： | 通过对一列带正跳跃的超过程取极限,本文构造了带移民的相依空间运动超过程.在此基础上,利用 Dawson型的Girsanov变换得到了相应的非临界分枝,此变换同时给出依赖于整体状态的空间漂移.
|
| 关 键 词： | 相依空间运动超过程 移民过程 非临界分枝 胎紧 |
IMMIGRATION SUPERPROCESSES WITH DEPENDENT SPATIAL MOTION AND NON-CRITICAL BRANCHING |
| |
| LI Zenghu LU Guanhua WANG Hao.IMMIGRATION SUPERPROCESSES WITH DEPENDENT SPATIAL MOTION AND NON-CRITICAL BRANCHING[J].Chinese Annals of Mathematics,2004(5). |
| |
| Authors: | LI Zenghu LU Guanhua WANG Hao |
| |
| Institution: | LI Zenghu LU Guanhua WANG Hao Department of Mathematics,Beijing Normal University,Beijing 100875,China.
Department of Mathematics,University of Maryland,College Park,MD 20742,U.S.A.
Department of Mathematics,University of Oregon,Eugene OR 97403-1222,U.S.A. |
| |
| Abstract: | A class of immigration superprocess with dependent spatial motion is constructed by a passage to the limit from a sequence of superprocesses with positive jumps. A non-critical branching is then obtained by using a Girsanov transform of Dawson's type, which also gives a state-dependent spatial drift. |
| |
| Keywords: | Superprocess with dependent spatial motion Immigration process Non-critical branching Tightness |
| 本文献已被 CNKI 等数据库收录！ |
