| SOME CENTRAL LIMIT THEOREMS FOR SUPER BROWNIAN MOTION |
| |
| 作者姓名： | 李增沪 |
| |
| 作者单位： | Department of Mathematics，Beijing Normal University，Beijing 100875，China |
| |
| 基金项目： | the National Natural Science Foundation of China!(No.19361060)and the Mathematical Center of the State Education Commission of |
| |
| 摘 要： | 1IntroductionLimittheoremsconstituteanimportantpartofthebranchingprocesstheory.Itisalwaysinterestingtofindconditionsunderwhichanon-degeneratelimitlawexists.SinceGaltonWatsonprocessesareunstable,peoplehavederivedlimittheoremsforthemthroughdevicessucllasmodifyingfactors,conditioning,immigration,etc.AunifiedtreatmentofthelimittheoryofGallon--WatsonprocessesisgiveninAthreyaandNey(1972).Someoftheabovementionedtechniqueshavealsobeenusedinthemeasure-valuedsettingtogetlimittheoremsforDawson-Watana…
|
SOME CENTRAL LIMIT THEOREMS FOR SUPER BROWNIAN MOTION |
| |
| Li Zenghu.SOME CENTRAL LIMIT THEOREMS FOR SUPER BROWNIAN MOTION[J].Acta Mathematica Scientia,1999(2). |
| |
| Authors: | Li Zenghu |
| |
| Abstract: | The author proves a central limit theorem for the critical super Brownian motion, which leads to a Gaussian random field. In the transient case the limiting field is the same as that obtained by Dawson (1977). In the recurrent case it is a spatially uniform field. The author also give a central limit theorem for the weighted occupation time of the super Brownian motion with underlying dimension number d < 3, completing the results of Iscoe (1986). |
| |
| Keywords: | Super Brownian motion weighted occupation time central limit theorem |
| 本文献已被 CNKI 等数据库收录！ |
